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.
A)1.55
B)0.85
C)0.78
D)0.59
The probability that a flight departs on schedule and arrives on schedule is represented by P(A and B) where A is the event of departing on schedule and B is the event of arriving on schedule.
We know that P(A) = 0.87 and P(A and B) = 0.68
P(A and B) = P(B|A) * P(A)
Therefore, P(B|A) = P(A and B) / P(A) = 0.68 / 0.87 ≈ 0.78
Therefore, the probability that a flight that departs on schedule also arrives on schedule is approximately 0.78, so the answer is C) 0.78.