document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "a) What percentage of years will have an annual rainfall of less than 43 inches? \r
\n" ); document.write( "\n" ); document.write( "b) What percentage of years will have an annual rainfall of more than 39 inches? \r
\n" ); document.write( "\n" ); document.write( "c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches? \r
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Algebra.Com's Answer #810046 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "Normal Distribution:  µ = 41.1 and σ = 5.3\r\n" );
document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus\r\n" );
document.write( "Continuous curve\r\n" );
document.write( "P(x < 43) = P(x ≤ 44) = normalcdf(-9999, 43, 41.1, 5.3) = .64  0r  64%\r\n" );
document.write( "P(x > 39) = P(x ≥ 38) = normalcdf( 39, 9999, 41.1, 5.3) = .654  0r 65.4%\r\n" );
document.write( "P(38 > x > 42)= normalcdf(37, 42, 41.1, 5.3) = .3829 = .2881 0r 28.8%\r\n" );
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document.write( "Important You feel comfortable using Your calculator.\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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