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Frank and Freddie (see previous problem) have decided to try a new free throw drill. Tonight they will shoot free throws until they make 5 in a row.

a) What is the probability that Freddie will leave without missing a shot?

b) What is the probability that Freddie will miss exactly one shot?

c) What is the probability that Freddie will miss more than one shot before leaving?

d) Let X be the number of free throws that Freddie misses. Make a plot of the pmf for X (over a reasonable range of values - in theory there is no limit to the number of misses he could have).

e) Repeat the questions above for Frank.

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