Question: A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a-2) or 10 integers (0-9). Suppose

A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a-2) or 10 integers (0-9). Suppose there are 10,000 users of the system with unique passwords. A hacker randomly selects (with replacement) one billion passwords from the potential set, and a match to a user's password is called a hit.

(a) What is the distribution of the number of hits?

(b) What is the probability of no hits?

(c) What are the mean and variance of the number of hits?

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