Suppose that it snows in Greenland an average of once every 21 days, and when it...

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Suppose that it snows in Greenland an average of once every 21 days, and when it...

Suppose that it snows in Greenland an average of once every 21 days, and when it does, glaciers have a 26% chance of growing. When it does not snow in Greenland, glaciers have only a 9% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing?

math Statistics-And-Probability

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Answer 1

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Answer #1

P(Snow) = 1/21 = 0.0476

So P(Not snow) = 1 - 0.0476 = 0.9524

P(Glacier grow | Snow) = 0.26

P(Glacier grow | Not snow) = 0.09

Hence by Bayes' theorem:

P(Snow | Glacier grow)

10.26 + 0.0476 -0.26 * 0.0476 +0.00 * 0.9524

= 0.1262

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Answer 2

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