In a survey of airline travelers, subjects were observed in the coach section of

Question

In a survey of airline travelers, subjects were observed in the coach section of airplanes to determine if men or women are bothered by a seatmate of the opposite gender using the common armrest. ("Passengers who were asleep or lovers cuddled together were not counted, since these were considered confounding circumstances.") 2. The table below contains data gathered in that study Discontentment Felt When Seat-mate Used Common Armrest: Males and Females Bothered Not bothered Females Males 19 38 26 18 Suppose one of these passengers was randomly selected. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation. a) What is the probability that the passenger is female. b) What is the probability that the passenger is female or bothered. c) What is the probability that the passenger is male and not bothered.

Explanation / Answer

Total number of passengers = 19+26+38+18 = 101

a) P(passenger is female) = (19+26)/101 = 0.4455

b) P(female or bothered) = (19+26+38)/101 = 0.8218

c) P(male and not bothered) = 18/101 = 0.1782

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