Allegiant Airlines charges a mean base fare of $87. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $34 per passenger. Suppose a random sample of 70 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total flight cost is known to be $36. Use z-table.

a.What is the population mean cost per flight?

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b.What is the probability the sample mean will be within $10 of the population mean cost per flight (to 4 decimals)?

c.What is the probability the sample mean will be within $5 of the population mean cost per flight (to 4 decimals)?