A density function sometimes used by engineers to model lengths of life of electronic

Chapter 6, Problem 6.34

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QUESTION:

A density function sometimes used by engineers to model lengths of life of electronic components is the Rayleigh density, given by f (y) = 2y ey2/ , y > 0, 0, elsewhere. a If Y has the Rayleigh density, find the probability density function for U = Y 2. b Use the result of part (a) to find E(Y ) and V(Y ).

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QUESTION:

A density function sometimes used by engineers to model lengths of life of electronic components is the Rayleigh density, given by f (y) = 2y ey2/ , y > 0, 0, elsewhere. a If Y has the Rayleigh density, find the probability density function for U = Y 2. b Use the result of part (a) to find E(Y ) and V(Y ).

ANSWER:

Step 1 of 3

Given:

The probability density function of Y is given to be equal to:

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