Suppose that there are N different types of coupons. Each time you get a coupon, it is

Question:

Suppose that there are N different types of coupons. Each time you get a coupon, it is equally likely to be any of the N possible types. Let X be the number of coupons you will need to get before having observed each coupon at least once. a. Show that you can write X = Xo + X + + XN-1, where N-i X ~ Geometric (). N b. Find EX. ...