A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons
. a. Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers.
b. Assume the amounts of fuel used are independent for each passenger-mile traveled. Find the standard deviation of the number of gallons of fuel the plane uses to fly 8000 miles while carrying 210 passengers.
c. The plane used X gallons of fuel to carry 210 passengers 8000 miles. The fuel efficiency is estimated as X/(210 x 8000). Find the mean of this estimate.
d. Assuming the amounts of fuel used are independent for each passenger-mile, find the standard deviation of the estimate in part (c).