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

Answer 1

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.