Annual precipitation in the Basalt Mountains is normally distributed with a mean of 79 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 81.8 inches?
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The population mean, $$ \mu = 79 $$ inches. The population standard deviation, $$ \sigma = 12 $$ inches. The sample size, $$ n = 36 $$ years. The value for which we want to find the probability, $$ \bar{x} = 81.8 $$ inches. Show more…
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