Chapter 5 - Normal Probability Distributions - Section 5.2 Normal Distributions: Finding Probabilities - Exercises - Page 250: 19

$z = \frac{x-μ}{σ} = \frac{225-205}{37.8}$ = 0.33 $z = \frac{x-μ}{σ} = \frac{260-205}{37.8}$ = 1.46 Using table 4, we have: a. P(z < 0.53) = 0.7019 = 70.19% b. P(z > 1.46) = 1 = P(z < 1.46) = 1 - 0.9279 = 0.0721 = 7.21% To get number of scores, we multiply sample size and percentage 7.21% x 250 ≈ 18 individuals

As given above