Question: - Suppose there are m types of coupons and on each round of picking a coupon it is equally likely to be any of

- Suppose there are m types of coupons and on each round

- Suppose there are m types of coupons and on each round of picking a coupon it is equally likely to be any of these m types, independently of what has been picked earlier. Let X be the number of pickings one needs to perform to obtain at least one coupon of each type. For example: if m 3 and we sequentially pick 2, 2, 1, 2, 3, 3, 1, ... then X 5. Represent X as a sum of X, Xm, with X the number of the trials required to obtain at least one type, X the number of additional trials after the first X trials required to obtain at least two types, and so on. What is the distribution of each X? Calculate E[X] and E[X]. ...

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