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) Responses 0.59 0.59 0.78 0.78 0.85 0.85 1.55

Answer 1

To find the probability that a flight that departs on schedule also arrives on schedule, we can use the conditional probability formula:

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

Given that P(arrives on schedule and departs on schedule) is 68% and P(departs on schedule) is 87%, we can calculate the probability as:

P(arrives on schedule | departs on schedule) = 0.68 / 0.87 = 0.78

Therefore, the probability that a flight that departs on schedule also arrives on schedule is 0.78. Rounding to two decimal places, the answer is 0.78.