(Answered) The number of passengers passing through a large south east

Statistics

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?

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