The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability that an int

Question

The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability that an international flight leaving the United States is a transpacific flight (event P) is .59. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .11. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are D and P independent? Yes No

in progress 0
Genesis 2 weeks 2022-01-11T18:24:26+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-11T18:25:27+00:00

    Answer:

    a. 0.1864

    b. Events D and P are dependent

    Step-by-step explanation:

    a.

    P(D)=0.29

    P(P)=0.59

    P(P and D)=P(P∩D)=0.11

    We have to find

    P(D/P)=?

    P(D/P)=P(P∩D)/P(P)

    P(D/P)=0.11/0.59=0.1864

    Thus, the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight is 18.64%

    b.

    The events D and P are independent if

    P(D/P)=P(D)

    P(D/P)=0.1864

    P(D)=0.29

    As P(D/P)≠P(D), so the events D and P are dependent.

Leave an answer

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