Dormitory accommodation. The housing manager of dormitory accommodation for exchange students believes that the mean number of

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Dormitory accommodation. The housing manager of dormitory accommodation for exchange students believes that the mean number of dormitories in need of some form of repair after each semester is 0.6 per block of 20 dormitories on the campus, with a standard deviation of 0.5. He is responsible for three such blocks of 20 dormitories each.

a) How many repairs does he expect to get after the semester?

b) What is the standard deviation?

c) Is it necessary to assume the blocks of dormitories are independent? Why?

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