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5. Your favorite cereal is having a promotion, in each box of cereal is a from toy. There are n
different toys and you want to collect them all! Suppose each time you buy a box of cereal,
you got any one of the n toys equally likely at madam.
(a) Suppose you've already collected & different toys, what is the expected number of boxes
of creak that you need to buy until you get a new toy?
"(b) What is the expected total number of boxes of cereal you have to buy in order to collect
all the toys? (Here you will not get a closed form solution but the answer is still very nice.)

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