2) In a survey of airline travelers, passengers were selected at random from those who were traveling alone in the coach section. The selected passengers were asked if they were bothered by a seatmate of the opposite gender using the common armrest. The table below contains data gathered in that study.

Discontentment Felt When Seat-Mate Used Common Armrest: Males and Females

Bothered | Not Bothered Females 19 26

Males 38 18

Suppose one of these passengers is to be randomly selected for a follow-up interview. 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 selected passenger is female?

(b) What is the probability that the selected passenger is female or is bothered?

(c) What is the probability that the selected passenger is male and is not bothered?