Chapter 7 - Section 7.2 - Assess Your Understanding - Applying the Concepts - Page 378: 41d

$P(x > 280)$ $= 0.19$

$\mu$ = 266, $\sigma$ = 16 Want to find $P( x > 280 )$ i) Convert 280 to a z-score: z = $\frac{x - \mu}{\sigma}$ z = $\frac{280 - 266}{16}$ z= 0.88 ii) $P(x > 280) = P(z > 0.88)$ $P(z > 0.88)$ $= 1 - P( z < 0.88)$ $= 1- 0.8106$ $= 0.19$