An airline has 87% of its flights depart on schedule. It has 68% of its flights 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. (1 point)
0.85
0.78
0.59
1.55
To find the probability that a flight that departs on schedule also arrives on schedule, we can use the formula for conditional probability:
P(A|B) = P(A and B) / P(A)
Where:
P(A|B) is the probability that event A (flight arrives on schedule) occurs given that event B (flight departs on schedule) has already occurred.
P(A and B) is the probability that both events A and B occur.
P(A) is the probability that event A occurs.
In this case:
P(A|B) = Probability that a flight arrives on schedule given that it departs on schedule
P(A and B) = Probability that a flight both departs and arrives on schedule
P(A) = Probability that a flight arrives on schedule.
Given data:
P(A and B) = 68%
P(B) = 87%
Now we can plug in the values into the formula:
P(A|B) = 68% / 87% = 0.78
Therefore, the probability that a flight that departs on schedule also arrives on schedule is 0.78, rounded to two decimal places.
The answer is 0.78.