# Discrete random variable with probability mass function

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1) Let X be a discrete random variable with probability mass function Pr{X=k}= c/(1+(k^2)) for k= -2,-1, 0, 1, 2.

a) determine Pr{x <= 0}

(b) Determine the mean of X

(c) Determine all medians of X

(d) Compute Pr{X=2 | X >= 0}

(e) Determine the cumulative distribution function

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##### Solution Summary

Given discrete random variable with probability mass function , the solution calculates probability for different values of x, and cumulative distribution function.

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