(a) A random variable has px(x) = x/15 for x = 1, 2, 3, 4, 5 and 0 otherwise. Find the mean and variance of X. (b) Suppose P(X = {1,2,3}) values for the variance? = 1 and E[X] = 2.5. What are the smallest and largest (c) Can we have a random variable with E[X] = 3 and E[X²] = 8? A random variable has px(x) = x/15 for x = 1, 2, 3, 4, 5 and 0 otherwise. Find the mean and variance of X.

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