An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili
ty 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
1 answer:
Answer:
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
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