A customer spending waiting time at a place check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is:
(a) Less than 9.3 minutes
(b) Between 5 and 10 minutes
(c) Less than 7.5 minutes
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