Two components of a computer have the follow- ing joint pdf for their useful lifetimes X and Y: xe-x(1+y) x > 0 and y > 0 f(x, y) = { f(x,y) otherwise a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? Explain. c. What is the probability that the lifetime of at least one component exceeds 3?

Two components of a computer have the follow- ing joint pdf for their useful lifetimes X and Y: xe-x(1+y) x > 0 and y > 0 f(x, y) = { f(x,y) otherwise a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? Explain. c. What is the probability that the lifetime of at least one component exceeds 3?

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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