An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probability that a flight that departs on schedule also arrives on schedule. Round the answer to two decimal places.

A. 0.80

B. 0.17

C. 0.53

D. 0.79

0.79

Step-by-step explanation:

Here,

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability

P (X∩Y) = 0.65

And

P (X) = 0.82

We have to find P ((Y│X)

We know that

P ((Y│X) = P (X∩Y) / P (X))

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79