There are four resources and four jobs to be done. Assume there must be one-to-one matching between jobs and resources. The time required for each resource to do each job is as follows:
Job (Hours)
Resource A B C D
1 5 8 7 7
2 4 9 5 9
3 6 9 8 7
4 7 6 6 9
What is the optimal assignment of resources to jobs?
Multiple Choice
1 to A; 2 to C; 3 to B; 4 to D
1 to B; 2 to D; 3 to C; 4 to A
1 to C; 2 to B; 3 to A; 4 to D
1 to D; 2 to B; 3 to C; 4 to A
1 to A; 2 to C; 3 to D; 4 to B

Answers

Answer 1

Answer:

1 → A ; 2 → C ; 3 → D ; 4 → B

Explanation:

From the given information, the table can be better structured as follows:

                       Job (Hours)

Resource               A                B               C                  D

1                              5                8                7                   7

2                             4                9                5                   9

3                             6                9                8                   7

4                             7                 6                6                   9

From the table, the allocation of resources is based on the minimum number of jobs i.e. time(hours) required to do all four tasks appropriately.

These are 1 → A ; 2 → C ; 3 → D ; 4 → B

Then, the time taken by this process is = (5 + 5 + 7 + 6)

= 23 hours


Related Questions

Which of the following is/are inconsistent with the semi-strong form of the efficient market hypothesis? [I] Significant non-random price movements [II] Price overreaction to the public release of new information [III] Superior performance of professional traders [IV] Abnormal profits from illegal insider trading
A. I and III
B. II and IV
C. I and II
D. All are inconsistent with the semi-strong form of the EMH

Answers

Answer:

C. I and II

Explanation:

Semi strong form of efficient market hypothesis is a situation where stock prices adjust quickly to any new public information that circulates in the market. It assumes that stock prices incorporates the effect of all information which is publicly available in the market.

Mr. Dorji is not working currently
because his skills are not relevant for the jobs available in the market. What category of unemployment would Dorji fall in?

Select one:
a. Cyclical Unemployment
b. Structural Unemployment
c. Seasonal unemployment
d. Frictional Unemployment

= Structural Unemployment​

Answers

Answer:

b. Structural Unemployment

Explanation:

Structural unemployment exists due to a mismatch between jobseeker's skills and the currently available jobs in the market. This implies that the market has available job opportunities, but the current labor force may require retraining to take up the jobs effectively.

Advancements in technology may cause structural unemployment. In recent years, robots have been replacing unskilled workers. It means these workers must acquire skills through training to have a chance of getting hired elsewhere.

When a firm shifts from transactional selling to a value-added and relationship approach, a number of changes have to take place in the way a salesperson approaches customer as well as his or her own job. List as many of these changes as you can and explain why each is important to making value-added selling work. Minimus words 100 and please provide source of information

Answers

Answer:

When a firm shifts from transactional to value-added and relationship approach of selling the following changes takes place in the way the salesperson approaches he customer and their job:

Whilst the objective the transactional approach is to make a sale, the relational approach is to build trust. When a customer trusts their sales person, it means they hold the sales person to put their interests first or at least take care of their interests whilst taking care of their too. The relational approach is more focused on retaining existing customers than making new ones. This is the obverse of a transactional relationship. It is said that it costs about 5 times extra to get a new client than what it takes to keep one. Thus the smart company focuses on honing this skill until they are better off for it. in a transactional approach, the nature of the relationship is relatively short, whilst it is stronger and longer in a relational approach. A Relational approach to selling can sometimes occur in the grey line between personal and official relationships.In a relationship-based approach to selling, the firm focuses on adding value in the primary areas of concern for the client as well as other areas. For example, a client - the CEO of a start-up requires recruitment, onboarding, and standard operating procedure as services from a HR firm. As a relational HR person, the best way to proceed would be to give him exactly what he wants and stil go ahead to add more value in other areas by giving templates of letter of appointment to the client.

Cheers!

When consumers study consumer behavior, they should come to make better decisions. Which of the following can be helpful in enlightening consumers?
A) Consequences associated with poor budget allocation.
B) The role of emotions in consumer decision making.
C) Avenues for seeking redress for unsatisfactory purchases.
D) The effect of the environment on consumer behavior.
E) All of the above.

Answers

Answer: E) All of the above.

Explanation:

All the topics listed above can be helpful in enlightening consumers. They need to know what happens when they make poor budgeting decisions so that they can avoid it. They also need to understand the emotions involved in consumer making so that they can avoid making emotional decisions if need be.

They need to know that they can as well as where they can report purchases that were unsatisfactory and they need to understand that the environment can influence consumer behaviour so that they can make wiser decisions.

What is a positive and what is a normative statement?

Answers

Answer:

normative statement: conclusions based on value judgments that cannot be tested

positive statement: conclusions based on logic and evidence that can be tested.

Hope that helps

Have a good day

what are the similarities between scientific theory and bureaucratic theory?

Answers

Answer:

The Scientific Theory is based on using data and human strengths to increase output, while the Bureaucratic management style focuses on hierarchies and tight job roles. Regardless of the organization, the goals remain the same across the board. Every organization strives to minimize costs, while maximizing output.

if quantity demamded is completely unresponsive to changes in price ,demand is what?​

Answers

Answer:

If quantity demanded is completely unresponsive to changes in price, demand is Perfectly inelastic.

Explanation:

Perfectly inelastic demand means that quantity demanded remains the same when price increases or decreases. Consumers are completely unresponsive to changes in price.

I hope it's helpful


Communication may account for as much as. Of a hiring decision
a 25%
b. 40%
C65%
d. 80%

Answers

80% is the best answer

Answer:

A) 25%

Explanation:

Just got it right on edge

The board of directors of Chestnut Inc. approved a restructuring plan on November 1, Year 1. On December 1, Year 1, Chestnut publicly announced its plan to close a manufacturing division in New Jersey and move it to China, and the company's New Jersey employees were notified that their jobs would be eliminated. Also on December 1, Year 1, to ensure an orderly transition, management promised a termination bonus of $10,000 to any employee who remains with the company until his or her position is terminated in the fourth quarter of Year 2. Chestnut estimates it will pay termination bonuses to 120 employees at the end of Year 2, for a total of $1,200,000. The present value of the estimated termination bonus is $1,000,000.
Required:
Determine the provision that should be recognized for Chestnut's restructuring plan. Identify the dates on which journal entries should be made and the amounts to be recorded.

Answers

Answer:

Company by informing employees about termination is creating constructive obligation. Company should therefore provide for restructuring costs calculated as PV of estimated termination bonus which is based on number of employees would accept the offers. The provision for expenses should be recognized on December 1 of year 1

      Journal entry to record provision for restructuring costs

Date                  General Journal                       Debit                 Credit

01/Dec/Year 1    Restructuring expenses        $1,000,000

                                Provision for termination of benefits      $1,000,000

                           (To record provision for restructuring costs)

This question tests your understanding of the economics of a commodity tax. Assume that in each case the demand curve slopes down from top left to bottom right and the supply curve slopes up from bottom left to top right If the government halved a commodity tax, what would not always follow?
a. The quantity traded would increase
b. The price exclusive of commodity tax that sellers receive would rise.
c. The price inclusive of commodity tax that buyers pay would fall.
d. Tax revenue would increase.

Answers

Answer:

d. Tax revenue would increase.

Explanation:

When government halved commodity tax so they divided into two parts so it is use full them to manage it separately in two different parts. So when government needs more revenue they tax some commodity on their trade. So now government collects different taxes from different parties so their tax revenue increases by that decision.

Which professional has helped Jennifer in this example?
Jennifer bought a new smart phone from a local store that sells electronic products. After a week, she started experiencing problems with the
phone's display screen. She went back to the store and spoke to its ___
representative, who replaced the product and
apologized for the inconvenience.

Answers

Answer:

would it be sales representative since they were only able to replace the device and apologize

Answer:

customer service

Explanation:

I'm smart and got it right on my test

Meiji Isetan Corp. of Japan has two regional divisions with headquarters in Osaka and Yokohama. Selected data on the two divisions follow:

Division
Osaka Yokohama
Sales $3,000,000 $9,000,000
Net operating expenses $210,000 $720,000
Average operating assets $1,000,000 $4,000,000

Required:
a. For each divisions, compute the return on investment (ROI) in terms of margin and turnover. (Do not round intermediate calculations.)
b. Assume that the company evaluates performance using residual income and that the minimum required rate of return for any division is 15%. Compute the residual income for each division.


Answers

Answer:

1. Rate of Interest = Net operating expenses/Average operating assets

Osaka = $210000/$1000000 = 0.21 = 21%  

Yokohama = $720000 / $4000000 = 0.18 = 18%

2.                                                Osaka        Yokohama

Average operating assets   $1,000,000    $4,000,000

M. required return at 15%     $150,000       $600,000

Net operating income          $210,000       $720,000    

Minimum required return     $150,000       $600,000

Residual income                   $60,000       $120,000

Stock Y has a beta of 1.3 and an expected return of 15.3 percent. Stock Z has a beta of 0.70 and an expected return of 9.3 percent. If the risk-free rate is 5.5 percent and the market risk premium is 6.8 percent, the reward-to-risk ratios for stocks Y and Z are and percent, respectively. Since the SML reward-to-risk is percent, Stock Y is (Click to select) and Stock Z is:_______ . (Round your answers to 2 decimal places. (e.g., 32.16))

Answers

Answer:

Reward-to-risk ratio Y =7.54%

Reward-to-risk ratio Z = 5.43%

Since the SML reward-to-risk is 6.8%

Stock Y is Undervalued

Stock Z Overvalued

Explanation:

Calculation for the reward-to-risk ratios for stocks Y is 7.54% and Z is 5.43% respectively.

Reward-to-risk ratio Y = (15.3%-5.5%)/1.3

Reward-to-risk ratio Y =7.54%

Reward-to-risk ratio Z = (9.3%-5.5%)/0.7 =

Reward-to-risk ratio Z = 5.43%

Therefore the reward-to-risk ratios for stocks Y and Z are and percent, respectively

Since the SML reward-to-risk is 6.8%

Stock Y is undervalued while Stock Stock Z on the other hand is overvalued reason been that

Reward-to-risk ratio Y is high while the Reward-to-risk ratio is low .

This question examines the market for mangos. You will use a demand function to construct the demand schedule, calculate the price elasticity of demand at different points along a linear demand curve, and identify the likely effects of price changes on total revenue.
Below, you are provided with the demand function for mangos. If you plug any price into the formula for the demand function, you get the quantity demanded at that price.
Q = 150 – 25P
Task 1. Use the table below to find the quantity of mangos demanded at each price.
Price Quantity of Mangos Demanded
$1
2
3
4
5
Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.
Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?
Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?

Answers

Answer:

Task 1. Use the table below to find the quantity of mangos demanded at each price.

For a price of $1, the quantity demanded of mangos is:

Q = 150 - 25 ($1)

Q = 125

For $2:

Q = 150 - 25 ($2)

Q = 150 - 50

Q = 100

For $3

Q = 150 - 25 ($3)

Q = 150 - 75

Q = 75

For $4

Q = 150 - 25 ($4)

Q = 150 - 100

Q = 50

For $5

Q = 150 - 25 ($5)

Q = 150 - 125

Q = 25

Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.

The formula is

Price Elasiticy of Demand (PED) = ((Q2 - Q1) / (Q2 + Q1) / 2 ) / ((P2 - P1) / ((P2 + P1) / 2)

Now, we plug the amounts into the formula

PED = ((50 - 25) / (50 + 25) / 2) / ((4 - 5) / (4 + 5) / 2)

PED = 0.1666 / -0.0556

PED = -3

We take the absolute value, 3, which is a PED higher than 1, meaning that demand is elastic: the quantity demanded in this case increased more than the price.

Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?

Revenue = Price x Quantity

Under the first scenario, revenue = $5 x 25 = $125

Under the second scenario, revenue = $4 x 50 = $200

So revenue increased by $75.

Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?

First scenario = $3 x 75 = $225

Second scenario = $2 x 100 = 200

So revenue actually falls by $25.

Paragraphs in a business email should be 20 to 40 words long. True False

Answers

The answer would be false

The following information is available for Robstown Corporation for 20Y8:
Inventories January 1 December 31
Materials $44,250 $31,700
Work in process 63,900 80,000
Finished goods 101,200 99,800
December 31
Advertising expense $ 400,000
Depreciation expense-office equipment 30,000
Depreciation expense-factory equipment 80,000
Direct labor 1,100,000
Heat, light, and power-factory 53,300
Indirect labor 115,000
Materials purchased 556,600
Office salaries expense 318,000
Property taxes-factory 40,000
Property taxes-office building 25,000
Rent expense-factory 27,000
Sales 3,850,000
Sales salaries expense 200,000
Supplies-factory 9,500
Miscellaneous costs-factory 11,400
Required:
A. Prepare the 20Y8 statement of cost of goods manufactured.*
B. Prepare the 20Y8 income statement.*
* Refer to the Labels and Amount Descriptions list provided for the exact wording of the answer choices for text entries. "Less" or "Plus" will automatically appear if it is required. Enter all amounts as positive numbers. Be sure to complete the statement heading.

Answers

Answer:

A. Statement of cost of goods manufactured for the year ended 20Y8

Beginning Work In Process                                                               $63,900

Add Manufacturing Costs :

Materials ($44,250 + $556,600 - $31,700)          $569,150

Depreciation expense-factory equipment            $80,000

Direct labor                                                          $1,100,000

Heat, light, and power-factory                               $53,300

Indirect labor                                                          $115,000

Property taxes-factory                                           $40,000

Rent expense-factory                                             $27,000

Supplies-factory                                                       $9,500

Miscellaneous costs-factory                                    $11,400      

                                                                                                       $2,005,300

Less Ending Work In Process                                                          ($80,000)

Cost of Goods Manufactured                                                        $1,989,250

B. Income statement for the year ended 20Y8

Sales                                                                                             $3,850,000

Less Cost of Goods Sold

Opening Finished Goods                                     $101,200

Add Cost of Goods Manufactured                   $1,989,250

Less Ending Finished Goods                              ($99,800)      ($1,990,650)

Gross Profit                                                                                   $1,859,350

Less Operating Expenses

Advertising expense                                          $400,000

Depreciation expense-office equipment            $30,000

Office salaries expense                                      $318,000

Property taxes-office building                             $25,000

Sales salaries expense                                      $200,000        ($973,000)

Net Income                                                                                   $886,350

Explanation:

Part A

Statement of cost of goods manufactured is a summary of the cost incurred in the manufacturing process.

Cost of Goods Manufactured = Opening Work In Process + Total Manufacturing Costs - Closing Work In Process

Part B

Income Statement shows the profit earned during the reporting period

Profit = Gross Profit (Sales - Cost of Goods Sold) - Operating Expenses

For Sunland Co., beginning capital balances on January 1, 2020, are Nancy Payne $18,900 and Ann Dody $24,000. During the year, drawings were Payne $8,700 and Dody $5,200. Net income was $28,700, and the partners share income equally.
Show the partners' capital statement for the year and show the owners' equity section of the balance sheet at December 31, 2020.

Answers

Answer and Explanation:

The preparation of the partner capital statement and the owner equity section is presented below:

Partner capital statement

Particulars           N. Payne        Ann Dody         Total

Beginning

balance                $18,900          $24,000           $42,900

Less: Drawings    -$8,700         -$5,200            -$13,900

Balance left           $10,200       $18,800              $29,000

Add: Net income

share 50% 50%     $14,350       $14,350             $28,700

ending balance       $24,550    $33,150             $57,700

Now the balance sheet is

Sunland Co,

Partial balance sheet

Dec 31,2020

Owner capital

Partner capital balance    $29,000

Add: Net income              $28,700

Total owner equity            $57,700

what are the similarities between the scientific theory and the human relations theory and bureaucratic theory

Answers

The scientific theory is based on using data and human strengths which create an increase output, but the Bureaucratic management style focuses on hierarchies and tighter job roles.

CHECKPOINT QUESTION
Which of the following statements about gossip in the organization is TRUE?
Only small amounts of information are carried on the grapevine of workplace
gossip.
Employees rely on each other for important information more than they rely on
their bosses.
Managers are excluded from using the grapevine to communicate or respond to
messages.
The grapevine can be used to prevent individual agendas and potential
miscommunications.

Answers

Answer:

Only small amounts of information are carried on the grapevine of workplace

gossip.

Explanation:

Grapevine is referred to as the circulation of unofficial information and rumors. Most of the communications in an organization is carried out through grapevine. It is informal communication of messages and information and also gossips in an organization. The grapevine communications carries more of accurate information than gossips. Only a small portion of the information consists of gossips in the functional grapevine.

While managing political
behaviours
in organization, the manager
requires discouraging:
Select one:
a. Dialogue
b. Negotiation
c. Relationships
d. Self interest

= Self interest

Answers

Answer:

You are right it is D

Explanation:

Having Self Intrest will cause selfishnes while doing political things.

Which type of team rarely has the
authority to unilaterally implement
any of their suggestions?
= Problem-Solving Teams ​

Answers

Explanation:

Problem-Solving Teams is the right one hahahahahahahabaha

. Explain the puropose of the project charter ? Explain 3 tools and techniques that can be used to develop it

Answers

Answer:

It provides a preliminary delineation of roles and responsibilities, outlines the project's key goals, identifies the main stakeholders, and defines the authority of the project manager. A project charter should: Contain the essence of the project. Provide a shared understanding of the project

Explanation:

Develop a Project Charter - Tools and Techniques

Expert Judgment: A crucial step in executing the project by taking opinions from subject matter experts, garnering valuable inputs and understanding the business case complexity related to the project. ...

Data Gathering. ...

Interpersonal and Team Skills. ...

Meetings.

Which of the following answer options are your employer's responsibility? (OSHA)
(A) Develop a written hazard communication program
(B) Implement a hazard communication program
(C) Maintain a written hazard communication program

Answers

Answer: A, B, and C. ALL OF THE ABOVE!

Explanation:

They're all the correct answer.

An employer's OSHA responsibility with regard to a hazard communication program is (C) Maintain a written hazard communication program.

OSHA's HCS, 29 CFR 1910.1200 (e) specifically requires the employer to maintain a written hazard communication.

This written program includes maintenance of labels and other warning forms, safety data sheets.

It is also required that the employer should provide safety information and training, especially for its employees.

Thus, the responsibility of the employer is not to develop or implement a hazard communication program but to maintain a written hazard communication program.

Read more about employer's OSHA responsibilities at https://brainly.com/question/5337593

Imagine that a new technology is invented that makes it very cheap to produce highly efficient solar panels that can be put on cars stuff. Give the effect in the following markets.
a. price of solar panels
b. quantity of solar panels
c. price of oil
d. quantity of oil
e. price of tires
f. quantity of tires

Answers

Answer

Quantity of solar panels increase , Price of solar panels decrease

Quantity of tires increase, Price of tires increase

Quantity of oil decrease, Price of oil decrease

Explanation:

Supply is directly related to technological upgradation.

So, technical upgrade will increase ie rightwards shift the supply curve. Hence, quantity of solar panels will increase.

Increase in supply will create competition among sellers, so the price of solar panels will decrease

Tires are complementary goods to car solar panels. Price & quantity of complements are inversely related. Lower priced solar panels imply higher demand quantity of tires. Increase & rightwards shift in demand implies competition among buyers & tires' price increase.

Oil is a substitute good to solar panels. Price & quantity of substitutes is directly related. Lower priced solar panels imply lower oil demand quantity. Decrease & leftwards shift in demand curve implies excess supply & competition among sellers, so price of tires decrease.

How are bonds a safer investment than stock?

A. Bonds are safer because they are loans with a guaranteed interest rate for return

B. Bonds are sager because they are paid with with taxes

C bonds are safer because they are paid by the stock market

D bonds are safer cause they qre assets with gauranteed return from the government


Can be mutiple answers​

Answers

Answer: D and B

Explanation:

The stock market is where you invest where you want to and hope the money will grow bigger by the company growing bigger. Bonds are you paying a certain amount of money and the government will pay back a little back at a time so if the government doesn't pay which is very unlikely is the reason why bonds are safer.

Ben invest $10,000 at a rate of interest of 5 percent for 40 years. Which of the following statements about the return on the investment is true?

Answers

Answer:

a. ​Ben will receive a significant amount at the end of the investment period, due to the feature of compounding.

Multiple choice options

a. ​Ben will receive a significant amount at the end of the investment period, due to the feature of compounding.

b. ​Ben will receive no interest on his investment at the end of the investment period.

c. ​Ben will receive an interest of $5,000 at the end of ten years.

d. ​Ben will receive more money at 3 percent rate of interest instead of the existing rate.

e. ​Ben will receive more money at the end of 30 years compared to the money received at the end of 40 years.

Explanation:

Ben will be earning 5% of his investment of $10,000 every year for 40 years.

At the end of every year, the 5% earned will be added to $10,000. It means the principal and interest will increase at the end of every year. After 40 years, Ben will receive a huge amount, as indicated below.

The formula is A= p x ( 1 x r)^n

A = $10,000 x ( 1+0.05)^40

A = $10,000 x (1.05)^40

A= $10,000 x 7.039988

A= 70,399.88

A=$70,400

Ben invest $10,000 but will receive $70,400 after 40 years

Pierce Which of the following statements is therefore necessarily true for Pierce? has a concave utility of wealth function, u(x). Pierce prefers prospect X to prospect Y.
a. CE(X) > CE(Y).
b. U(EV(X)) > U(EV(Y))
c. EU(X) < EU(Y)
d. Y is a mean preserving spread of X.

Answers

Answer:

A)  CE(X) > CE(Y) is the correct answer.

Explanation:

Solution:

Correct Answer is A) CE(X) > CE(Y)

Because:

1. First of all, we are given that Pierce has a concave utility of wealth function u(x) which means Pierce is a kind of person who does not prefer taking risk.

2. Secondly, we are given that he prefers prospect X to Prospect Y.

3. Thirdly, Pierce will always make sure that Certainty Equivalent should be higher than others as Pierce does not want to take risks.

4. Lastly, he prefers X to Y so, he will make sure CE(X) must be greater than CE(Y) .

Hence,

A)  CE(X) > CE(Y) is the correct answer.

On Monday, all company employees report being unable to connect to the corporate wireless network, which uses 802.1x with PEAP. A technician verifies that no configuration changes were made to the wireless network and its supporting infrastructure, and that there are no outages.
Which of the following is the MOST likely cause for this issue?
A. Too many incorrect authentication attempts have caused users to be temporarily disabled.
B. The DNS server is overwhelmed with connections and is unable to respond to queries.
C. The company IDS detected a wireless attack and disabled the wireless network.
D. The Remote Authentication Dial-In User Service server certificate has expired.

Answers

Answer:

D. The Remote Authentication Dial-In User Service server certificate has expired.

Explanation:

In the case when the employees report that the internet is not connected to the network also the technician verifies that there is no configuration changes made for the same so the most likely cause would be that the remote authentication i.e. the certificate of the dial in user server would have been expired

Therefore as per the given scenario, the last option is right

Stevenson Corporation acquires a one-year old building at a cost of $500,000 at the beginning of Year 2. The building has an estimated useful life of 50 years. However, based on reliable historical data, the company believes the carpeting will need to be replaced in 5 years, the roof will need to be replaced in 15 years, and the HVAC system will need to be replaced in 10 years. On the date of acquisition, the cost to replace these items would have been carpeting, $10,000; roof, $15,000; HVAC system, $30,000. Assume no residual value.

Required:

Determine the amount to be recognized as depreciation expense in Year 2 related to this building.

Answers

Answer:

$14,900

Explanation:

The computation of the amount recognized as a depreciation expense for the year 2 is shown below;

= Carpenting + roof + hvac system + building

= ($10,000 ÷ 5 years) + ($15,000 ÷ 15 years) + ($30,000 ÷ 10 years) + ($500,000 - $10,000 - $15,000 - $30,000) ÷ (50 years)

= $2,000 + $1,000 + $3,000 + $8,900

= $14,900

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution.
a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. and 5 P.M. yesterday?
b. What is the probability she received 5 or more emails during the same period?
c. What is the probability she did not receive any emails during the period?

Answers

Answer:

0.2706 ; 0.05265 ; 0.1353

Explanation:

Given that :

λ = 2

According to the poisson distribution formula :

P(x = x) = (λ^x * e^-λ) / x!

P(x = 1) = (2^1 *e^-2) / 1!

P(x = 1) = (2 * 0.1353352) = 0.2706

P(x ≥ 5) = 1 - P(x < 5)

1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]

We obtain and add the individual probabilities. To save computation time, we can use a poisson distribution calculator :

1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)

1 - P(x < 5) = 1 - 0.94735 = 0.05265

P(x ≥ 5) = 1 - P(x < 5) = 0.05265

Probability that no emails was received :

x = 0

P(x = 0) = (2^0 *e^-2) / 0!

P(x = 0) = (1 * 0.1353352) / 1 = 0.1353

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