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21 April, 14:09

An airline has 82% of its flights depart on schedule. It has 65% of its flight 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. 0.80

B. 0.17

C. 0.53

D. 0.79

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  1. 21 April, 15:40
    0
    0.79

    Step-by-step explanation:

    Here,

    Let X be the event that the flights depart on time

    Let Y be the event that flights arrive on time

    So,

    X∩Y will denote the event that the flights departing on time also arrive on time.

    Let P be the probability

    P (X∩Y) = 0.65

    And

    P (X) = 0.82

    We have to find P ((Y│X)

    We know that

    P ((Y│X) = P (X∩Y) / P (X))

    =0.65/0.82

    =0.79

    So the probability that a flight that departs on schedule also arrives on schedule is: 0.79
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