In: Statistics and Probability
(a) Suppose there are 4 types of coupons, namely A, B, C, and D. Your goal is to collect all types of coupon. If each type has an equal chance of appearing, how many coupons do you expect to buy in order to get all 4 types? For example, a possible sequence can be: C A D A D D C A B. (b) Now, suppose there are k(k > 0) types of coupons. Your goal is to collect any m(m < k) types of them. If each types has an equal chance of appearing, how many coupons do you expect to buy to get m types.