a. What is the standard deviation of lifetimes? b. What is the probability that a component lasts longer than 10 years? c. What is the probability that a component will function for at least 10 years, given that it has already function for 3 years?

a. What is the standard deviation of lifetimes? b. What is the probability that a component lasts longer than 10 years? c. What is the probability that a component will function for at least 10 years, given that it has already function for 3 years?

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.CR: Chapter 13 Review

Problem 61CR

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Question

Assume that the lifetime of a certain component has an exponential distribution with mean 5 (and that

time is measured in years).

a. What is the standard deviation of lifetimes?

b. What is the probability that a component lasts longer than 10 years?

c. What is the probability that a component will function for at least 10 years, given that it has already

function for 3 years?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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