Mishandled Baggage per 1000 Passengers Customer Оn-Time Arrivals (%) Complaints per 1000 Passengers Airline Virgin America JetBlue AirTran Airways Delta Air Lines 83.5 0.87 1.88 1.58 2.10 1.50 0.79 0.91 0.73 79.1 87.1 86.5 87.5 77.9 83.1 85.9 76.9 77.4 Alaska Airlines Frontier Airlines Southwest Airlines US Airways 2.93 2.22 3.08 2.14 0.51 1.05 0.25 1.74 1.80 4.24 American Airlines United Airlines 2.92 3.87
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 flight has an on-time arrival?
b. lf 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 complaint per 1000 passengers?
d. What is the probability that a randomly selected AirTran Airways flight will not arrive on time?
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