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Suppose that you generate an 8-character password by selecting each character independently and uniformly at random from {a, b, . . . , z} {A,

Suppose that you generate an 8-character password by selecting each character independently and uniformly at random from {a, b, . . . , z} {A, B, . . . , Z} {0, 1, . . . , 9}.

(a) What is the expected number of letters in a password?

(b) What is the variance of the number of letters in a password?

As always, begin by defining a probability space.

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