Question
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.
To find the probability that a flight that departs on schedule also arrives on schedule, we can use the formula for conditional probability:
P(arrival on schedule | departure on schedule) = P(arrival on schedule and departure on schedule) / P(departure on schedule)
Plugging in the given percentages:
P(arrival on schedule | departure 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 or 85% when rounded to two decimal places.