John is shooting at flying targets that are made of clay. The probability that he hits a target on every given shot is equal to 1 3 , independently of other shots. He always goes home after 10 hits.
a) What is the mean and standard deviation of the number times he shoots before going home?
b) What is the probability that he goes home after fewer than 13 shots on any given day?
c) What is the expected number of days he has to come to shooting practice before he can go home after fewer than 13 shots?
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