If one of the flights is randomly selected find the probability that the flight selected was a United Airlines flight given that it was on time.

The probability of an event is given by:
[tex]P(E)=\frac{\#outcomes\text{ where E occurs}}{\text{Total number of outcomes}}[/tex]The # of outcome where the event occurs is 53 (an United Airlines which were on time)
The total number of outcomes is: 22+53+8+2=85.
Then, the probability is:
[tex]P(E)=\frac{53}{85}[/tex]