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| Question 306291:  Find the probabilities.
 From National Weather Service records, the annual snowfall in the TopKick Mountains has a mean of 92 inches and a standard deviation s of 12 inches. If the snowfall from 25 randomly selected years are chosen, what it the probability that the snowfall would be less than 95 inches
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! Find the probabilities. From National Weather Service records, the annual snowfall in the TopKick Mountains has a mean of 92 inches and a standard deviation s of 12 inches. If the snowfall from 25 randomly selected years are chosen, what is the probability that the snowfall would be less than 95 inches.
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 t(95) = (95-92)/[12/sqrt(25)] = 1.25
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 P(x < 95) = P(t < 1.25 when df = 24) = tcdf(-100,1.25,24) = 0.8883
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 Cheers,
 Stan H.
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