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

Question

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.