12. People arrive at ashoe store at random Each person then looks at a random mu
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Question
12. People arrive at ashoe store at random Each person then looks at a random mumber of shoes before deciding which to buy. (a). Let N be the mumber of people that arrive in an hour. Given that (b). Customer i tries on Xi pairs of shoes they do not like before finding EN-10, what would be a good distribution for N? a pair theý like and then purchase (X, E 10,1,...)). Suppose that the chance they like a given pair of shoes in 0.8, independently of the other shoes they have looked at. What is the distribution of Xi? (c). Let Y be the total number of shoes that have been tried on, excluding those purchased. Supposing that each customer acts independently of other customers, give an expression for Y in terms of N and the X, then write functions for simulating N, Xi, and Y. (d). What is PY-0)? Use your simulation of Y to estimate PY-0). If your confidence interval includes the true value, then you have some circumstantial evidence that your siulation is correct.Explanation / Answer
1) poisson distribution with parameter=10
2) geometric distribution. no. of trials before 1st success
3) Hypergeometric distribution
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