Question: 1. Problem 9.4 In a lottery, one thousand tickets numbered as 000,001,...,999 are sold. Each contestant buys only one ticket. The prize winners of the

1. Problem 9.4 In a lottery, one thousand tickets numbered as 000,001,...,999 are sold. Each contestant buys only one ticket. The prize winners of the lot tery are determined by drawing at random one number from the numbers 000,001,...,999. You are a prize winner when the number on your ticket is the same as the number drawn or is a random permutation of the number drawn. What is the probability mass function of the number of prize winners?

What is the expected value of the number of prize winners and what is the probability that a randomly picked contestant will be a prize winner?

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