SOLUTION: The annual rainfall in a certain region is approximately normally distributed with mean 40.2 inches and standard deviation 5.9 inches. Round answers to the nearest tenth of a perce

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Question 1180193: The annual rainfall in a certain region is approximately normally distributed with mean 40.2 inches and standard deviation 5.9 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 44 inches?
b) What percentage of years will have an annual rainfall of more than 38 inches?
c) What percentage of years will have an annual rainfall of between 37 inches and 41 inches?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution:  µ = 40.2 and σ = 5.9
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
Continuous curve
P(x < 44) = P(x ≤ 44) = normalcdf(-9999, 44, 40.2, 5.9) = .8284 0r 82.84%
P(x > 38) = P(x ≥ 38) = normalcdf( 38, 9999, 40.2, 5.9) = .2123 0r 21.23%
P(37 > x > 41)= normalcdf(37, 41, 40.2, 5.9) = .3829 = .0283 0r 2.83%

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