In Exercise 6.1, we considered a random variable Y with probability density function

Chapter 6, Problem 6.23

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QUESTION:

In Exercise 6.1, we considered a random variable Y with probability density function given by f (y) = $ 2(1 y), 0 y 1, 0, elsewhere, and used the method of distribution functions to find the density functions of a U1 = 2Y 1. b U2 = 1 2Y . c U3 = Y 2. Use the method of transformation to find the densities of U1, U2, and U3.

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QUESTION:

In Exercise 6.1, we considered a random variable Y with probability density function given by f (y) = $ 2(1 y), 0 y 1, 0, elsewhere, and used the method of distribution functions to find the density functions of a U1 = 2Y 1. b U2 = 1 2Y . c U3 = Y 2. Use the method of transformation to find the densities of U1, U2, and U3.

ANSWER:

Step 1 of 4

(a) The inverse of  is

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