Question: 5. A store sells word processors. The proportion which are returned as faulty has been found to be 0.035. During the Christmas period of 1995,

5. A store sells word processors. The proportion which are returned as faulty has been found to be 0.035. During the Christmas period of 1995, the store sold 104 word processors. The number of these which will be returned as faulty is X. Assuming independence, state the exact distribution of X. Give reasons why this distribution can be approximated by a Poisson distribution. Calculate the probability that at most three of the word processors will be returned as faulty

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