Chapter 7, Problem 7.1E

To determine

To indicate: The given situation in terms of a random circumstance and the related probability.

Answer to Problem 7.1E

Whether the domestic flight is late or not late will be a random circumstance here. The probability of the flight arriving on time is 0.787, and the probability of the flight being late is 0.213.

Explanation of Solution

Given information:

According to the website, 78.7% of the flights of the top 18 airlines are not late.

Concept used:

Any situation where the outcome is unexpected is said to be a random circumstance. In many situations, the result is not known until after it is observed or visible.

In this case, the requirement is to represent the term in random circumstances. There can be two possible cases for any random event, whether the flight is on time or not on time.

As it is mentioned on the website that 78.7% of the flights of the top 18 airlines are not late, it can be concluded that there is a 0.787 probability that the flight will not be late. There may be another case too. The probability that the flight will not be on time is 0.213.

Therefore, the random circumstance for this case will be the domestic flight is not late, or the flight is late. The probability the flight is on time is 0.787, and the probability of arriving on the flight late is 0.213.