SOLUTION: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 12 inches. What is the probability that
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Question 508814: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches?
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z(109.8) = (109.8-107)/sqrt(36) = 0.4667
P(x-bar < 109.8) = P(z < 0.4667) = 0.6796
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Cheers,
Stan H.
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