A regional airline serving Las Vegas has a base airfare rate of $99. In addition, various fees are charged: for checked baggage, refreshments/drinks in-flight, and for making a reservation on its website. These additional charges average $70 per passenger. Suppose a random sample of 59 passengers is taken to determine the total cost of their flight. The population standard deviation of total flight cost is known to be $40. (a) What is the population mean cost per flight in dollars? $  (b) What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to four decimal places.)   (c) What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to four decimal places.)

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A regional airline serving Las Vegas has a base airfare rate of $99. In addition, various fees are charged: for checked baggage, refreshments/drinks in-flight, and for making a reservation on its website. These additional charges average $70 per passenger. Suppose a random sample of 59 passengers is taken to determine the total cost of their flight. The population standard deviation of total flight cost is known to be $40.
(a)
What is the population mean cost per flight in dollars?
(b)
What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to four decimal places.)
 
(c)
What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to four decimal places.)
 
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