Question

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

Answer 1

0.79

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