Question: The continuous random variable X has probability density function, f, given by: The random variable Y is defined by Y = X 2 . a.

The continuous random variable X has probability density function, f, given by:

(x- 3) + 2) 0


The random variable Y is defined by Y = X2.

a. Show that the cumulative distribution function G(y) is given by:


b. Show that the median is 0.75, correct to 2 decimal places.

c. Find E(Y).

(x- 3) + 2) 0

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