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Suppose that n balls are tossed into b bins so that each

Question: Suppose that n balls are tossed into b bins so that each ball is equally likely to fall into any of the bins and that the tosses are independent.

a) Find the probability that a particular ball lands in a specified bin.

b) What is the expected number of balls that land in a particular bin?

c) What is the expected number of balls tossed until a particular bin contains a ball?

d) What is the expected number of balls tossed until all bins contain a ball?

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