Answer
Answer: 0.44
Work Step by Step
To find P( 72 < $x$ < 82):
1) Convert $x$ = 72 to a z score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{72 - 74}{8}$
z = -0.25
2) Convert $x$ = 82 to a z score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{82 - 74}{8}$
z = 1
3) Find P( -0.25 < z < 1)
= P( z < 1) - P( z < -0.25)
=0.8413 - 0.4013
=0.44
Therefore, P(72 < $x$ < 82) = 0.44
