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 0.85 0.85 0.78 0.78 1.55

Answer 1

To find the probability that a flight that departs on schedule also arrives on schedule, we need to use the formula for conditional probability.

Let A be the event that a flight departs on schedule, and let B be the event that a flight arrives on schedule. We want to find P(B|A), the probability that a flight arrives on schedule given that it departs on schedule.

We know that:
P(A) = 0.87 (probability that a flight departs on schedule)
P(A and B) = 0.68 (probability that a flight departs and arrives on schedule)

The formula for conditional probability is given by:
P(B|A) = P(A and B) / P(A)

Substitute the known probabilities into the formula:
P(B|A) = 0.68 / 0.87
P(B|A) ≈ 0.78

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

Correct answer: 0.78