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# Probability using Normal Distribution for Flights Sold Out

Landrum Airline flies the route between Chicago and Pittsburgh. The mean number of passengers per flight is 160 with a standard deviation of 20. The aircraft used for the route has 200 seats.
a. What percent of the flights are sold out?
b. The airline must sell 150 seats to break even on this particular flight. On what percent of the flights does the airline make money?
c. The airline would like to reduce the number of flight attendants on 20 percent of the flights. This will be done on the flights with the fewest passengers. Below what number of passengers on a flight will the airline reduce the number of flight attendants?

#### Solution Preview

Landrum Airline flies the route between Chicago and Pittsburgh. The mean number of passengers per flight is 160 with a standard deviation of 20. The aircraft used for the route has 200 seats.

a. What percent of the flights are sold out?

Mean=M = 160 passengers
Standard deviation =s= 20 passengers
x= 200 passengers
z=(x-M )/s= 2 =(200-160)/20
Cumulative Probability ...

#### Solution Summary

Calculates probability using normal distribution

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