Chapter 3.2, Problem 3.28E

(a)

To determine

To calculate the probability that z is less than -1.58.

Answer to Problem 3.28E

P (z < -1.58) = 0.0571

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z<-1.58\right)\\ =1-P\left(z<1.58\right)\\ =1-0.9429\\ =0.0571\end{array}$

  

(b)

To determine

To calculate the probability that z is greater than -1.58.

Answer to Problem 3.28E

P (z < -1.58) = 0.9429

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z>-1.58\right)\\ =P\left(z<1.58\right)\\ =0.9429\end{array}$

  

(c)

To determine

To calculate the probability that z is greater than -0.46.

Answer to Problem 3.28E

P (z > -0.46) = 0.6772

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z>-0.46\right)\\ =P\left(z<0.46\right)\\ =0.6772\end{array}$

  

(d)

To determine

To calculate the probability that z is greater than 0.93.

Answer to Problem 3.28E

P (z > 0.93) = 0.1762

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z>0.93\right)\\ =1-P\left(z<0.93\right)\\ =1-0.8238\\ =0.1762\end{array}$