1.8. Question 7 Marketing researchers have determined that there is a relationship between sales of canned tuna and the price of canned tuna. Specifically, SALES = 40, 710 - 430PRICE, where SALES are cans sold per week and PRICE is measured in cents per can. Suppose PRICE is (approximately) a normal random variable with mean μ = 75 cents and standard deviation σ 5 cents. That is PRICE~N(75, 25).\ (a) = (a) What is the expected value of SALES? (b) What is the variance of SALES? (c) Find the probability that more than 6, 300 cans are sold in a week. ↑↓孟曱 (b) (c)
1.8. Question 7 Marketing researchers have determined that there is a relationship between sales of canned tuna and the price of canned tuna. Specifically, SALES = 40, 710 - 430PRICE, where SALES are cans sold per week and PRICE is measured in cents per can. Suppose PRICE is (approximately) a normal random variable with mean μ = 75 cents and standard deviation σ 5 cents. That is PRICE~N(75, 25).\ (a) = (a) What is the expected value of SALES? (b) What is the variance of SALES? (c) Find the probability that more than 6, 300 cans are sold in a week. ↑↓孟曱 (b) (c)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![1.8. Question 7
Marketing researchers have determined that there is a relationship between sales of canned tuna and the price of canned tuna. Specifically,
SALES = 40, 710 - 430PRICE,
where SALES are cans sold per week and PRICE is measured in cents per can. Suppose PRICE is (approximately) a normal random variable with mean
μ = 75 cents and standard deviation σ 5 cents. That is PRICE~N(75, 25).\
(a)
=
(a) What is the expected value of SALES?
(b) What is the variance of SALES?
(c) Find the probability that more than 6, 300 cans are sold in a week.
↑↓孟曱
(b)
(c)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2F9b462419-7399-4257-b0f7-7377397c98f3%2Fexoyy5_processed.png&w=3840&q=75)
Transcribed Image Text:1.8. Question 7
Marketing researchers have determined that there is a relationship between sales of canned tuna and the price of canned tuna. Specifically,
SALES = 40, 710 - 430PRICE,
where SALES are cans sold per week and PRICE is measured in cents per can. Suppose PRICE is (approximately) a normal random variable with mean
μ = 75 cents and standard deviation σ 5 cents. That is PRICE~N(75, 25).\
(a)
=
(a) What is the expected value of SALES?
(b) What is the variance of SALES?
(c) Find the probability that more than 6, 300 cans are sold in a week.
↑↓孟曱
(b)
(c)
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