There are n distinct types of coupons, and each coupon obtained is, independently of prior types collected, of type iwith probability .
(a) If ncoupons are collected, what is the probability that one of each type is obtained?
(b) Now suppose that p1 = p2= ... = pn = 1/n. Let Ei, be the event that there are no type icoupons among the n collected. Apply the inclusion-exclusion identity for the probability of the union of events to P(∪iEi) to prove the identity
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