Question: In terms of parameter a , random variable X has CDF (a) Show that E[X] = a by showing that E[X - (a-2)] = 2.

In terms of parameter a , random variable X has CDF

(a) Show that E[X] = a by showing that E[X - (a-2)] = 2.
(b) Generate m = 100 traces of sample mean Mn(X) of length n = 1000. Do you oobserve convergence of the sample mean to E[X] = a?

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