Suppose that it rains in Spain an average of once every 14 days, and when it does, hurricanes have a 7% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 2% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford?

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A: We will solve the equation as following.

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A:

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A:

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A:

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A: Please refer the attached image for complete solution.

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A:

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A: Solution: Let Z  be the standard normal variable with mean 0 and standard deviation 1.  Z~N(0,1)

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A: Since the equation is: 83x-1=72x-4

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A: