The number of passengers passing through a large South East Asian airport is normally distributed with a mean of 110,000 persons per day and a standard deviation of 20,200 persons (You need to show all your calculations and demonstrate how you obtain your results)
If you select a random sample of 16 days:
(a) What is the sampling distribution of the mean? You should give a brief explanation of your answer.
(b) What is the probability that the sample mean is less than 98,000 passengers?
(c) What is the probability that the sample mean is between 102,000 and 104,500 passengers?