Question: Problem 1. Select individuals repeatedly from a large population and ask them which month they were born. Let, T, denote the number of individuals selected

Problem 1. Select individuals repeatedly from a large population and ask them which month they were born. Let, T, denote the number of individuals selected until ther-th January birthday is observed. Let. W, denote the number of individuals selected between the (i-1)-th and i-th January birthdays. Since individuals are selected from a large population, the selections may be assumed to be independent.] a. What is the probability that the 36th individual's birthday is the 5th January birthday that is observed? b. What is the probability that is individuals are selected between the 22nd and 23rd January birthdays? c. What is the expected number of individuals that should be selected until the 25th January birthday is observed? What is the SD of this random variable? d. What is the expected number of individuals that should be selected between the 24th and 25th January birthdays! What is the SD of this random variable? c. What is the probability that the number of not-Janitary birthdays before the 7th Jantary birthday is 7

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