Question: A computer system uses passwords constructed from the 26 letters (a-2) or 10 integers (0-9). Suppose there are 10,000 users of the system with unique

A computer system uses passwords constructed from 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) passwords from the potential set

(a) Suppose there are 9900 users with unique six-character. passwords and the hacker randomly selects six-character passwords. What is the mean and standard deviation of the number of attempts before the hacker selects a user password?

(b) Suppose there are 100 users with unique three-character passwords and the hacker randomly selects three-character passwords. What is the mean and standard deviation of the number of attempts before the hacker selects a user password?

(c) Comment on the security differences between six- and three-character passwords.

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