Using Probability to Identify Unlikely Events. In Exercises, consider an event to be “unlikely” if its probability is less than or equal to 0.05. (This is equivalent to the same criterion commonly used in inferential statistics, but the value of 0.05 is not absolutely rigid, and other values such as 0.01 are sometimes used instead.)

Favorite Seat on a Plane Among respondents asked which is their favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat (based on data from USA Today). What is the probability that a passenger prefers the middle seat? Is it unlikely for a passenger to prefer the middle seat? If so, why do you think the middle seat is so unpopular?

Solution 35BSC

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Let A is the event that a passenger prefer a middle seat. Total number of respondents was. Out of 806 respondents, 492 chose the window seat, 8 chose the middle seat and 306 chose the aisle seat. So the probability that a passenger prefer a middle seat is

Hence, the probability that a passenger prefer a middle seat is.