8. Suppose it rains in Raleigh an average of 2 out of every 10 days, and when it does, there is a 13% chance of a hurricane occufring on the coast. When it doesn't rain in Raleigh, there is only a 2% chance of a hurricane occurring on the coast. What is the probability that it is raining in Raleigh given that a hurricane has occurred on the coast? Round your final answer to the nearest 3 decimals.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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8. Suppose it rains in Raleigh an average of 2 out of every 10 days, and when it does,
there is a 13% chance of a hurricane occurring on the coast. When it doesn't rain in
Raleigh, there is only a 2% chance of a hurricane occurring on the coast. What is the
probability that it is raining in Raleigh given that a hurricane has occurred on the
coast? Round your final answer to the nearest 3 decimals.
Transcribed Image Text:8. Suppose it rains in Raleigh an average of 2 out of every 10 days, and when it does, there is a 13% chance of a hurricane occurring on the coast. When it doesn't rain in Raleigh, there is only a 2% chance of a hurricane occurring on the coast. What is the probability that it is raining in Raleigh given that a hurricane has occurred on the coast? Round your final answer to the nearest 3 decimals.
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