Chapter 3.2, Problem 3.29E

(a)

To determine

To calculate the probability that z is between -1.33 and 1.65.

Answer to Problem 3.29E

  $P\left(-1.33<z<1.65\right)=0.8587$

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(-1.33<z<1.65\right)\\ =P\left(z<1.65\right)-P\left(z<-1.33\right)\\ =0.9505-\left[1-0.9082\right]\\ =0.8587\end{array}$

(a)

To determine

To calculate the probability that z is between 0.50 and 1.79.

Answer to Problem 3.29E

  $P\left(0.50<z<1.79\right)=0.2718$

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(0.50<z<1.79\right)\\ =P\left(z<1.79\right)-P\left(z<0.50\right)\\ =0.9633-0.6915\\ =0.2718\end{array}$