document.write( "Question 1177765: Let X ∼ N(10, 25). Compute
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Algebra.Com's Answer #806878 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi\r\n" );
document.write( "Normal Distribution: N(10, 25) = N(μ, σ^2)  μ = 10   σ = 5\r\n" );
document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus\r\n" );
document.write( "(a) P(X ≤ 20) = normalcdf(-9999, 20, 10, 5) = .9772\r\n" );
document.write( "(b) P(X > 5) = 1 - P(x ≤ 5) = 1 - normalcdf(-9999, 5,10, 5) = 1 -.1587 = .8413\r\n" );
document.write( "(c) P(12 ≤ X ≤ 15) =  normalcdf(12, 15, 10, 5) = .1859\r\n" );
document.write( "(d) P(|X − 12| ≤ 15)  = P( x ≤ 27)  = .9997\r\n" );
document.write( "P( x ≤ 27) includes P( x ≤ -3) \r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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