Question: Consider the discrete random variable X, whose probability density function is given by: X=x 0 1 2 3 4 5 PXXX P(X=x) 1/6 1/6

Consider the discrete random variable X, whose probability density function is given

Consider the discrete random variable X, whose probability density function is given by: X=x 0 1 2 3 4 5 PXXX P(X=x) 1/6 1/6 1/12 1/12 1/4 1/4 1. Verify that the above probability density function is in fact a density function. 2. Compute P(2 X 4). 3. Compute the mean of X. 4. Compute the variance of X.

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