Question

Assume that there are three airlines from which to choose, each with a number of flights per day, and an on-time percentage shown below. (Assume that delays occur randomly.) A traveler selects a flight at random, and it arrives on time.
Airline Num. of Flights On-Time Perc.
East-West Air 4 60
Air One 3 50
International Air 6 80

(1) What is the probability that the traveler flew on East-West Air?


(2) What is the probability that the traveler flew on Air One?


(3) What is the probability that the traveler flew on International Air?

Answer 1

1.) The probability that the traveler flew on East-West Air is 4/(4 + 3 + 6) = 4/13 = 31%

2.) The probability that the traveler flew on Air One is 3/13 = 23%

3.) The probability that the traveler flew on International Air is 6/13 = 46%