Question: A random variable takes only the values 2, 4, 6, 8..., and the probabilities that it assumes these values are given by P(X = k)

A random variable takes only the values 2, 4, 6, 8..., and the probabilities that it assumes these values are given by

P(X = k) = 3/(2^k) for k = 2, 4, 6, ...

Find the:

a. mean;

b. variance.

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