Ryanair charges a mean base fare of $59. In addition, the airline charges for checking in at the airport, carry-on baggage, checked baggage, and inflight food/beverage. These additional charges average $39 per passenger. Suppose a random sample of 60 passengers is taken to determine the total cost of their flight on Ryanair. The population standard deviation of total flight cost is known to be $25. a. What is the probability the sample mean will exceed $100? b. What is the probability the sample mean will be within $10 of the population mean cost per flight? c. What is the probability the sample mean will be within $5 of the population mean cost per flight? Hint: The mean of the total cost per flight is mean base fare plus the mean of additional charges