1.8. Question 7Marketing 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 meanμ = 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)

To solve this problem, we will use the given formula for…

Answered: 1.8. Question 7 Marketing researchers…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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When a normal random variable Y is transformed to a standard normal random variable Z, the mean value of Z is 1 and the standard deviation value is 0.
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with μ = 85 and σ = 25. After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult under 50 years old, after a 12-hour fast, x is less than 130?
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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 87 and standard deviation ? = 22. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125)
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