The joint distribution for the length of life of two different types of components operating in a system was given in Exercise 5.18 by f(yr. y2) = |(1/8)y¡e-0n +32)/2, > 0, y > 0. 0, clsewhere. The relative efficiency of the two types of components is measured by U = Y2/Y1. Find the probability density function for U.

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QUESTION 3
The joint distribution for the length of life of two different types of components operating in a
system was given in Exercise 5.18 by
f (y1. y») = {1/8)¥;e-M +32)2, yi > 0, y, > 0,
elsewhere.
0,
The relative efficiency of the two types of components is measured by U = Y2/Y1. Find the
probability density function for U.
Transcribed Image Text:QUESTION 3 The joint distribution for the length of life of two different types of components operating in a system was given in Exercise 5.18 by f (y1. y») = {1/8)¥;e-M +32)2, yi > 0, y, > 0, elsewhere. 0, The relative efficiency of the two types of components is measured by U = Y2/Y1. Find the probability density function for U.
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