SOLUTION: 1. Given a normal distribution with µ = 40 and σ = 6, find a.) the area below 32; b.) the area above 27; c.) the area between 42 and 51; d.) the x value that has 45% of the a

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Question 1179321: 1. Given a normal distribution with µ = 40 and σ = 6, find
a.) the area below 32;
b.) the area above 27;
c.) the area between 42 and 51;
d.) the x value that has 45% of the area below it.
e.) The x value that has13% the area above it.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Distribution: normal with µ = 40 and σ  = 6
Continuous Curve:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus

P( x < 32) =normalcdf(-9999, 32,40,6) = .0902
P(x > 27) =normalcdf(27,9999,40,6) = .9849
P( 42 x < 51) =normalcdf(42, 51,40,6) = .3361
 d.) the x value that has 45% of the area below it: invNorm(.45, 40,6) = 39.246
e.) The x value that has 13% the area above it.  invNorm(.87, 40,6) = 46.7583
(may present x-value per class instructions) 
Wish You the Best in your Studies.

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