Prob.3 A random variable has probability mass function (pmf) given by (Ax2, x = 1, 2,...

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Prob.3 A random variable has probability mass function (pmf) given by (Ax2, x = 1, 2, 3, 4 P(X = x) = 10, otherwise (a) Find and sketch the cumulative distribution function, P(X x). (b) Find P(2 X < 4|X > 0). (c) Find the standard deviation of the random variable X. Prob.3 A random variable has probability mass function (pmf) given by (Ax2, x = 1, 2, 3, 4 P(X = x) = 10, otherwise (a) Find and sketch the cumulative distribution function, P(X x). (b) Find P(2 X < 4|X > 0). (c) Find the standard deviation of the random variable X.