An airline has 81% of its flights depart on schedule. It has 69% 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.

Question

(1 point)
Responses

1.25
1.25

0.85
0.85

0.45
0.45

0.43

Answer 1

The probability that a flight that departs on schedule also arrives on schedule can be found using the formula for conditional probability:

P(arrives on schedule | departs on schedule) = P(arrives on schedule and departs on schedule) / P(departs on schedule)

P(arrives on schedule | departs on schedule) = 0.69 / 0.81 = 0.85

Therefore, the probability that a flight that departs on schedule also arrives on schedule is 0.85. Rounded to two decimal places, the answer is 0.85.