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

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


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).

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