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4 years ago

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the probability that an international flight leaving the united states is delayed in departing (event d) is .36. the probability

that an international flight leaving the united states is a transpacific flight (event p) is .25. the probability that an international flight leaving the u.s. is a transpacific and is delayed in departing is .09. What is the probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight?

1 answer:

melomori [17]4 years ago

5 0

Answer:

$\large\boxed{\large\boxed{0.36}}$

Explanation:

This is a typical problem of conditional probability.

In this case you know:

the probability of the event D <em>(an international flight leaving the U.S. is delayed in departing</em>), which is 0.36 and you can write as P(D) = 0.36

the probability of event P <em>(an international flight leaving the U.S. is a transpacific flight</em>), which is 0.25 and you can write as P(P) = 0.25;

the joint probability of event P and D (<em>international flight leaving the U.S. is a transpacific and is delayed in departing</em>), which is 0.09 and you can write as P (P ∩ D) = 0.09.

You need to determine the <em>probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight</em>, i.e. the conditional probability P (D/P).

Hence, use the formula for conditional probability:

P (D/P) = P (D ∩ P) / P(D) = P (P ∩ D) / P (D)

P (D/P) = 0.09 / 0.25 = 0.36

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