A survey of holiday accommodation in New Zealand shows that in Auckland, excluding caravan parks and camping grounds, 42% were full (i.e. had no vacancies). A random sample of 25 holiday accommodation facilities (of the same capacity) in Auckland is selected at random. Assume the probability that a particular holiday accommodation facility is full is 0.42.

(a) What is the probability that at most 10 of these are full?

(b) What is the probability that no more than 15 of these are full?

(c) What is the probability that less than onequarter of them are full?

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