One way to look at conditional probabilities is to think of two different random

Question

One way to look at conditional probabilities is to think of two different random experiments being run simultaneously, then construct a 2 x 2 contingency table. Consider the following data for airline flights, where a, b, c, d are the numbers of flights having the indicated characteristics.

   Totals

(e) Based on the information, find the probability that an airline flight leaving New York was delayed by snow.

(f) Based on the information, find the probability that an airline flight delayed by snow was leaving New York.

(g) Let A = "flight left New York" and B = "flight delayed by snow". Express P(A given B) in terms of probabilities related to the events A, B.

        Left New York       Left Miami

   Totals

   Delayed by snow                 a             d Not delayed by snow                 b             c                Totals

Explanation / Answer

One way to look at conditional probabilities is to think of two different random

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