5.27 An unreliable electronic system has two components hooked up in parallel. The lifetimes X and Y of the two components have the joint density f(x, y) = e for 0 < x≤ y < oo. The system goes down when both components have failed. What is the joint density of X and Y - X? What are the marginal densities of X and Y - X? What is the density function of the time until the system goes down?

5.27 An unreliable electronic system has two components hooked up in parallel. The lifetimes X and Y of the two components have the joint density f(x, y) = e for 0 < x≤ y < oo. The system goes down when both components have failed. What is the joint density of X and Y - X? What are the marginal densities of X and Y - X? What is the density function of the time until the system goes down?

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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