Question

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.
From the data, we can conclude that the number of men weighing more than 165 pounds is about
what? and the number of men weighing less than 135 pounds is about what?
.

Answer 1

Z = ( 135 - μ ) / σ = -1 
z = ( 165 - μ ) / σ = 1 
P (x < 135) = P (z < -1) = 0.1587 
P (165 < x) = P (1 < z) = 0.1587 
.187 * 1000 = 187 more than 165 
.187 * 1000 = 187 less than 135