SOLUTION: The annual rainfall in a certain region is approximately normally distributed with mean 41.1 inches and standard deviation 5.3 inches. Round answers to the nearest tenth of a perce

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Question 1180334: The annual rainfall in a certain region is approximately normally distributed with mean 41.1 inches and standard deviation 5.3 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 43 inches?
b) What percentage of years will have an annual rainfall of more than 39 inches?
c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution:  µ = 41.1 and σ = 5.3
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
Continuous curve
P(x < 43) = P(x ≤ 44) = normalcdf(-9999, 43, 41.1, 5.3) = .64  0r  64%
P(x > 39) = P(x ≥ 38) = normalcdf( 39, 9999, 41.1, 5.3) = .654  0r 65.4%
P(38 > x > 42)= normalcdf(37, 42, 41.1, 5.3) = .3829 = .2881 0r 28.8%

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