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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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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