2. The consumer taste evaluation of a certain microwave dinner (on a continuous scale 0-10) X has cumulative distribution function F(x) = P(X ≤ x) = 120 (2 + x). a) Find the probability that the next consumer will evaluate the dinner as higher than a 5 but no higher than an 8. b) Calculate the expected value and variance of consumer evaluations.

2. The consumer taste evaluation of a certain microwave dinner (on a continuous scale 0-10) X has cumulative distribution function F(x) = P(X ≤ x) = 120 (2 + x). a) Find the probability that the next consumer will evaluate the dinner as higher than a 5 but no higher than an 8. b) Calculate the expected value and variance of consumer evaluations.

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

Section13.3: Special Probability Density Functions

Problem 36E

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