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?

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Answer:

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

Step-by-step explanation:

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

That is,

[tex]P(E^{c})=1-P(E)[/tex]

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:

[tex]P(X^{c})=1-P(X)=1-0.803=0.197[/tex]

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