On-time arrivals, lost baggage, and customer complaints are three measures that are typically used to measure the quality of service being offered by airlines. Suppose that the following values represent the on-time arrival percentage, amount of lost baggage, and customer complaints for 10 U. S. airlines. Customer
On-Time Mishandled Baggage Complaints per
Airline Arrivals (%) per 1,000 Passengers 1,000 Passengers
Virgin
America 83.5 0.87 1.50
JetBlue 79.1 1.88 0.79
AirTran
Airways 87.1 1.58 0.91
Delta Air
Lines 86.5 2.10 0.73
Alaska
Airlines 87.5 2.93 0.51
Frontier
Airlines 77.9 2.22 1.05
Southwest
Airlines 83.1 3.08 0.25
US
Airways 85.9 2.14 1.74
American
Airlines 76.9 2.92 1.80
United
Airlines 77.4 3.87 4.24
(a) Based on the data above, if you randomly choose a Delta Air Lines flight, what is the probability that this individual flight will have an on-time arrival?
(b) If you randomly choose 1 of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with less than two mishandled baggage reports per 1,000 passengers?
(c) If you randomly choose 1 of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with more than one customer complaint per 1,000 passengers?
(d) What is the probability that a randomly selected AirTran Airways flight will not arrive on time?