A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.01 0.01 0.03 1 0.02 0.04 0.04 0.06 2 0.02 0.01 0.06 0.63 a) What must the value of k be for this to be a valid probability model

Answers

Answer 1

Solution :

Given the Joint Probability distribution is :

Y|X     0         1           2           3            P(y)

0       k       0.03    0.03      0.03      k+0.09

1      0.01    0.02    0.04      0.04        0.11

2     0.01    0.01     0.05      0.72        0.79

P(x) k+0.02  0.06   0.12      0.79       k+0.99

 

Since we know,

[tex]$\sum \sum P(x_i,y_j) = 1$[/tex]

⇒ k + 0.99 = 1

⇒ k = 1 - 0.99

⇒ k = 0.01

Therefore, the value of k is 0.01


Related Questions

Calcula el volumen de un depósito de desechos sólidos subterráneo formado por una parte prisma
cuadrangular que tiene de lado 8 m y una profundidad de 20 m. se sabe, además que la otra parte del
depósito es una pirámide con altura de 4 m.

Answers

Step-by-step explanation:

v8yviyc8yv9yv8yv8yviyv8yv8v6

help asap!!

Which expression is equivalent to x(a + b)?
(1) abx
(3)
ахь
(2)
axbx
(4) ax + bx

Answers

Answer:

4

Step-by-step explanation:

x(a+b)

distribute the multiplication over the addition in parentheses

ax+bx

Liam bought pizza and wings for $27.58. How much change should Liam receive if he gave the clerk three $10 bills?
Use coins and bills to help solve.
A. $1.52
B. $2.42
C. $2.52
D. $12.42

Answers

Answer:

B. $2.42

Step-by-step explanation:

If Liam gave the clerk three $10 bills, that means he gave the clerk $30. This is because 3 times 10 equals 30.

Find how much change he will receive by subtracting $27.58 from the $30 that Liam gave to the clerk:

30 - 27.58

= 2.42

So, Liam will receive $2.42 in change.

The correct answer is B. $2.42

Answer:

 2.42

Step-by-step explanation:

3 ten dollar bills = 3*10 = 30 dollars

Subtract the cost of pizza and wings

30 - 27.58

Line up the decimals

 30.00

- 27.58

----------------

  2.42

PLEASE HELP WILL MARK YOU!!!

Answers

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

which ones do i press ?

Answers

Answer:

Step-by-step explanation:

b,e

Think about the following relation: {(2,4),(-2,1),(2,2),(-3,1)}
What is the domain of the relation? {
}
What is the range of the relation? {
}

Answers

9514 1404 393

Answer:

  D: {-3, -2, 2}

  R: {1, 2, 4}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

  D: {-3, -2, 2}

The range is the list of second-values of the ordered pairs:

  R: {1, 2, 4}

I need help with this problem for my homework pls help

Answers

Answer:

x = 6.93

y = 13.86

Step-by-step explanation:

We can solve x by;

Tan(60) = 12/x

Tan(60) * x = 12

x = 12 / Tan(60)

x = 6.93

We can solve y by;

A² + B² = C²

12² + 6.93² = y²

144 + 48.02 = y²

192.02 = y²

[tex]\sqrt{192.02}[/tex] = y²

13.86 = y

Hope this helps!

BET YOU CANT SOLVE THIS ONE......✋

Answers

Umm, where's the question?????

i bet candice can tho



Help sos i don’t know how to do this

Answers

9514 1404 393

Answer:

  (a)  2

Step-by-step explanation:

Simplify this fraction the same way you would any fraction: cancel common factors from numerator and denominator.

  [tex]22x^2y^2\div11x^2y^2=\dfrac{22x^2y^2}{11x^2y^2}=\dfrac{2\cdot11x^2y^2}{11x^2y^2}=2\cdot\dfrac{11x^2y^2}{11x^2y^2} = 2\cdot1 = \boxed{2}[/tex]

NO LINKS NO FILES! Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)

You would like to have $8000 in an account after four years time if the account earns 4% compound interest yearly how much would you have to deposit today

Answers

Answer:

http://www.1728.org/compint2.htm

Principal = Total ÷ (1 + Rate) ^ years

Principal =  $8,000 / (1.04) ^ 4

Principal =  $8,000 / 1.16985856

Principal = 6,838.43

Step-by-step explanation:

What is the value 3/4 to the power of 3

Answers

Answer:

2/8

Step-by-step explanation:

Answer:

27/64

Step-by-step explanation:

3/4 to the second power is 9/16. 3/4 to the third power is 27/64

PLEASE HELP!!!!




Time limit!!!

Answers

Pretty sure it’s 12 hope this helps

Find the area of the figure shown

Answers

Answer:

21.75 m^2

Step-by-step explanation:

area of a triangle =base*height/2

=8.7 * 5/2

=43.5/2

=21.75 m^2

Answer:

21.75m^2

Step-by-step explanation:

5x8.7= 43.5

43.5/2 = 21.75

Randy's gross salary is $760 per week. his salary is taxed at 16% what is his net salary ​

Answers

Answer:

$638.4

Step-by-step explanation:

Randy's gross salary (salary without any deduction) = $760

taxed rate =16%

Amount tax paid =tax% of gross income

=16/100 * $760

=$16*760/100

=$12160/100

=$121.6

net salary = gross salary - tax paid

=$760 - $ 121.6

=$638.4

Randy's net salary is $638.40

Randy's gross salary = $760 per week.

Tax paid on his salary = 16%

Net salary is the difference between the salary earned and the amount paid as tax. This will be:

= Salary - Tax

= $760 - (16% × $760)

= $760 - (0.16 × $760)

= $760 - $121.60

= $638.40

Read related link on:

https://brainly.com/question/23421215

I'll like a math genius to solve this.

8÷2 (2+2)​

Answers

Answer:

16

Step-by-step explanation:

8÷2(2+2)​

From PEMDAS, we do the equation in the parenthesis first.

8÷2(4)

Since this is division and multiplication we go left to right.

4(4)

16

Hey there!

[tex]\large\textsf{Do PEMDAS:}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents} \\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\textsf{Subtraction}[/tex]

[tex]\large\textsf{8 }\mathsf{\div}\large\textsf{ 2 (2 + 2)}\\\\\large\textsf{2 + 2}\\\large\text{= \bf 4}}\\\\\large\textsf{8 }\mathsf{\div }\large\textsf{ 2(4)}\\\\\large\textsf{8 }\mathsf{\div}\large\textsf{ 2}\\\large\textsf{= \bf 4}\\\\\large\textsf{4(4)}\\\large\textsf{= \bf 16}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 16}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I need help with this

Answers

Base: 3 units

Height: 5 units

Area: 15 square units

         ([tex]A=b*h=3*5=15[/tex])

hope this helps :)

I need the answer pls

Answers

Answer:

d

Step-by-step explanation:

0,0,0,1,1,1,2,2,3,4,7

count the numbers of the number? so theres six 0's and 1's altogether

theres three 2's and 3's altogether

there one 4

theres one 7

then plot them on the chart

help asap !!!!!!!!!!​

Answers

Answer:

Diagram 2= 5  

Diagram 3=10

Diagram 4= 15

Diagram 8 would be 35

Step-by-step explanation:

There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No

Answers

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

2.02b + 4.30 = 2.00b + 6.30

Answers

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

A family has a bike rack that fits seven bikes, but they only have 5 bikes. How many ways can they fit these bikes on the rack

Answers

Answer:

[tex]x=21 ways[/tex]

Step-by-step explanation:

From the question we are told that:

Bike space [tex]N=7[/tex]

Number of Bike [tex]n=5[/tex]

Generally the equation for This combination is mathematically given by

 [tex]x=^NC_n[/tex]

 [tex]x=^7C_5[/tex]

 [tex]x= \frac{7!}{5!2!}[/tex]

 [tex]x= 7*6/2[/tex]  

 [tex]x=21 ways[/tex]

4x-1divide by 2=x+7
what is x

Answers

X= 2.5
just move the terms collect the terms calculate it, divide both sides !!

Damon drove 120 miles on 2 hours and Ashley drove 135 miles in 2.3 hours. Ashley insist that she was traveling at a faster rate than damon. Is she correct, why?

Answers

Answer:

She is not correct

Step-by-step explanation:

distance = rate x speed

Damon:

120 = 2r

r = 60 miles per hour

Ashley:

135 = 2.3r

r = 58.7 miles per hour

Can someone check if this is right please? If not what is the correct way?

Answers

A, B, and C are the coefficients. They are not the terms as you have written now.

A quadratic equation is in the form Ax^2 + Bx + C. Therefore, A = 1, B = 8, and C = -6.

The axis of symmetry is  found using the equation -b/2a, as you've done. Therefore, the axis of symmetry is -8/2(1) = -4.

Hope this helps!! :)

A car moves at a constant speed of 90km/h from a starting point. Another car moves at 70km/h after 2hours from the same starting point. if both cars moves in the same direction, after how many hours will the distance between the first car and the second car to be 40 km.​

Answers

Step-by-step explanation:

are you sure you wrote the problem here correctly ?

because the distance will be 40km after less than half an hour just by the first car driving. way before the second car even starts.

to be precise, it would be after 60 minutes × 40 / 90

(= how many minutes of an hour are needed to reach 40km while going 90km/h) :

60 × 40 / 90 = 60 × 4 / 9 = 20 × 4 / 3 = 80/3 = 26.67 minutes.

but maybe the question was about 400km distance between the two cars.

so, the first car goes 90km/h for 2 hours.

at that moment it will be 2×90=180km ahead.

that would mean that 220km are still missing for the 400km assumption.

with each hour driving the first car makes 20km more than the second car.

to build up 220km that way would require

220/20 = 11 hours.

plus the 2 original head start hours this would make 13 hours as overall answer.

need answer quick !!! please

Answers

Answer:

f(-10) = 186

Step-by-step explanation:

Sub in -10 to the x - values:

f(x) = 2[tex]x^{2}[/tex] + [tex]x[/tex] - 4

f(-10) = 2(-10)^2 - 10 - 4

f(-10) = 200 - 10 - 4

f(-10) = 186

Find the measures of the acute angles of the right triangle shown

Answers

9514 1404 393

Answer:

2x° = 64°(x-6)° = 26°

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

A craftsperson must attach a lead strip around all four sides of a stained glass window that is
8 4/5 in. by
14 17/25 in. before it is installed. Find the length of lead stripping needed.

Answers

9514 1404 393

Answer:

  46 24/25 in

Step-by-step explanation:

Opposite pairs of sides are the same length, so the total length needed is ...

  2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)

  = 46 24/25 . . . inches

Are the following expressions equivalent? Yes or No? Please EXPLAIN
why you chose this answer for full credit. *
x + 2 - 3x - 10
x + 3x - 2 - 10
PLEASE HELP FAST ILL GIVE BRAINLYEST

Answers

Answer: They are not equivalent to each other because x+2-3x-10 is -2x-8 and x-3x-2-10 is 4x-12 so yeah

Step-by-step explanation:

there you go

Hi! No, They are not the same when you work out x + 2 - 3x - 10 it equals X - 11 and when you do x + 3x - 2 - 10 you get x - 9. I hope this helps, Goodluck :)
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