Question: Let X be a continuous random variable with probability density function is given by: (1 ),0 < < 1 () = { 0,0 The value

Let X be a continuous random variable with probability density function is given by:

(1 ),0 < < 1

() = {

0,0

The value of k is

The expected value of X,[ E(X) ] equals:

The variance of X [2 Var(X) ] equals

The value of the probability P(X=0.5) equals:

P(X < 0.5) is:

The value of the probability P(0.5 X 1) equals:

The cumulative distribution function [F(x)] for 0

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