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Unformatted text preview: Math 206 - Lab 7 1 Confidence Interval For The coupon collector problem is a famous probability problem dealing with a contest where each time you buy something, you are giving a coupon, one of a set. Once you collect the entire set, you win a prize. However, each time you buy the product, you are given one of the coupons at random, each as likely as the next. If there are k total coupons, the least number of purchases you can make and win the prize is k , though for large k , this is probably unlikely. Something with the identical probabilistic behavior is the experiment where you roll a die until you have observed all 6 sides, thus k = 6. a. Calculate the probability that you observe all 6 sides in your first 6 rolls. (Think about the events The resulting side has yet to be observed). b. What do you think is the average number of rolls needed to have observed all 6 sides? Write this number down....
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This note was uploaded on 01/30/2011 for the course MAT 219 taught by Professor Ab during the Spring '10 term at Coast Guard Academy.
- Spring '10