Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Let E denote the even

Question

Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Let E denote the event that the first airline’s flight is fully booked on a particular day, and let F denote the event that the second airline’s flight is fully booked on that same day. Suppose that P(E) = 0.8, P(F) = 0.6, and P(E Two different airlines have a flight from Los Ange F) = 0.49.(a) Calculate P(E | F) the probability that the first airline’s flight is fully booked given that the second airline’s flight is fully booked. (Round your answer to three decimal places.)(b) Calculate P(F | E). (Round your answer to three decimal places.)

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Amara 2 weeks 2021-09-12T02:47:34+00:00 1 Answer 0

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    2021-09-12T02:49:24+00:00

    Answer:

    A) P(E | F) = 0.817

    B) P(F | E) = 0.613

    Step-by-step explanation:

    From the question,

    P(E) = 0.8, P(F) = 0.6

    P(E∩F) = 0.49

    A) From conditional probability;

    P(E | F) = [P(E∩F)]/P(F) = 0.49/0.6 = 0.8167 which is approximately 0.817 in 3 decimal places.

    B) Also, P(F | E) = [P(F∩E)]/P(E) = 0.49/0.8 = 0.6125 which is approximately 0.613 in 3 decimal places.

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45:7+7-4:2-5:5*4+35:2 =? ( )