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.