The following table shows the percentage of on-time arrivals, the number of mish

Question

The following table shows the percentage of on-time arrivals, the number of mishandled
baggage reports per 1000 passengers, and the number of customer complaints per 1000
passengers for 10 airlines (Forbes website, February 2014).
a. If you randomly choose a Delta Air Lines flight, what is the probability that this individual
Has flight an on-time arrival?
b. If you randomly choose one 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 1000 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 complain per 1000 passengers?
d. What is the probability that a randomly selected AirTran Airways flight will not arrive
on time?
11. A Gallup Poll of U.S. adults indicated that Kentucky is the state with the highest percentage
of smokers (Gallup.com, December 2015). Consider the following example data from
Airline
On-Time
Arrivals (%)
Mishandled
Baggage per 1000
Passengers
Customer
Complaints per
1000 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

Explanation / Answer

(a) Delta Airlines has 86.5% ontime arrivals.

Hence, P(individual has on- time flight arrival) = 0.865

(b). P( airline with less than 2 mishandled baggage per 1000) = 3/10 = 0.3

There are 3 such airlines namely, VIrgin America, Jetblue and AirTran. Rest have a value greater than 2.

(c) P(more than one customer complaint per 1000 passengers) = 4 / 10 = 0.4

Virgin, Frontier, US Airways and American Airlines

(d) P(AirTran flight not on -time) = 1-P( AirTran on time) = 1- 0.871 = 0.129

87.1% AirTran flights are on time

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