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The probability that an international flight leaving the United States is delayed in departing (event D) is .28. The probability that an international flight leaving the United States is a transpacific flight (event P) is .55. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .13. (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

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Edufirst

Answer:

           [tex]\large\boxed{0.24}[/tex]

Explanation:

To make the information easier to handle, write your data using mathematical (probabilities) language:

1. The probability that an international flight leaving the united states is delayed in departing (event d) is .28

  •    P(D) = 0.28

2. The probability that an international flight leaving the united states is a transpacific flight (event p) is .55.

  •    P(P) = 0.55

3. The probability that an international flight leaving the u.s. is a transpacific and is delayed in departing is .13.

  •    P(P∩D) = 0.13

4. What is the probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight?

   P(D/P) = ?

To solve use conditional probability:

  •    Conditional probability formula: P (A/B) = P (A ∩ B) / P(B)

Substituting the data for this problem:

  • P (D/P) = P (D ∩ P) / P (P) = 0.13/0.55 = 0.24