A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y

Answers

Answer 1

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]


Related Questions

4 (x + 5)=12 what is x?

Answers

X in the math problem is negative two

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi

Answers

Answer:

Area = 452.16 cm²

Volume = 904.32 cm³

Step-by-step explanation:

The solid is a sphere, therefore,

Volume = ⁴/3πr³

Where,

π = 3.14

r = 6 cm

Volume = ⁴/3*3.14*6³

Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)

Area = 4πr²

Area = 4*3.14*6²

Area = 452.16 cm²

The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
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B) Calculate the difference as a percentage of the retail price.

Answers

Answer:

cash price:

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hire purchase:

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Answer:

1. scalene

2. isosceles

3. scalene

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Answer:

1. scalene

2. isosceles

3. scalene

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.

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Answers

As it is a composite shape we would split the shape up so we get a triangle and a square

Then we would work out the area of the square and the triangle

Area of a square = length x width
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Area of a square = 10 x 15 = 150
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(5 is the height of the triangle as you do 15-10 to work out the height of just the triangle

To get the total area we just combine both areas using addition

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Answer:187.5ft squared

Hope this helped

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Answers

Answer:

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Step-by-step explanation:

I want to know if I am correct. I forgot how to do this and I am helping out little brother

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

x= 12

Step-by-step explanation:

11x+2=134

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Don’t click it please don’t

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Answers

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What the person above me said. :)

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Answers

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Step-by-step explanation:

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Answers

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Answers

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

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Answers

Answer:

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Answers

Answer:

18 cookies

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Answers

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Answers

Answer:

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