Question: 21. (a) Show that is a probability mass function. (b) Let X be a random variable with probability mass function p given in part (a);

21.

(a) Show that

1 p(n) = n 1, n(n+1)'

is a probability mass function.

(b) Let X be a random variable with probability mass function p given in part (a);
find E(X).

1 p(n) = n 1, n(n+1)'

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