Question

According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability that a randomly selected American Airlines flight does not arrive on time?

Answer 1

The probability that a randomly selected American Airlines flight does not arrive on time is 0.197.

Explanation:

The probability of the complement of an event E is the probability of it not happening.

That is,

`P(E^(c))=1-P(E)`

It is provided that the probability of American Airlines flights arriving on time (X) is,

P(X) = 0.803

Then the event of American Airlines flights not arriving on time is the complement of the event X.

Compute the probability of the complement of event X as follows:

`P(X^(c))=1-P(X)=1-0.803=0.197`

Thus, the probability that a randomly selected American Airlines flight does not arrive on time is 0.197.