Let Y be a random variable with a density function given by f (y) = $ (3/2)y2, 1 y 1, 0

Chapter 6, Problem 6.2

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QUESTION:

Let Y be a random variable with a density function given by f (y) = $ (3/2)y2, 1 y 1, 0, elsewhere. a Find the density function of U1 = 3Y . b Find the density function of U2 = 3 Y . c Find the density function of U3 = Y 2.

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QUESTION:

Let Y be a random variable with a density function given by f (y) = $ (3/2)y2, 1 y 1, 0, elsewhere. a Find the density function of U1 = 3Y . b Find the density function of U2 = 3 Y . c Find the density function of U3 = Y 2.

ANSWER:

Step 1 of 6

Given:

The probability density function of the random variable Y is given as,

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