Chapter 3.2, Problem 3.27E

(a)

To determine

To calculate the probability that z is less than -0.37.

Answer to Problem 3.27E

P(z < -0.37) = 0.3557

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z<-0.37\right)\\ =1-P\left(z<0.37\right)\\ =1-0.6443\\ =0.3557\end{array}$

  

(b)

To determine

To calculate the probability that z is greater than -0.37.

Answer to Problem 3.27E

P (z > -0.37) = 0.6443

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z>-0.37\right)\\ =P\left(z<0.37\right)\\ =0.6443\end{array}$

  

(c)

To determine

To calculate the probability that z is less than 2.15.

Answer to Problem 3.27E

P (z < 2.15) = 0.9842

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z<2.15\right)\\ =0.9842\end{array}$

  

(d)

To determine

To calculate the probability that z is greater than 2.15.

Answer to Problem 3.27E

P (z > 2.15) = 0.0158

Explanation of Solution

Calculation:

  $\begin{array}{l}P\left(z>2.15\right)\\ =1-P\left(z<2.15\right)\\ =1-0.9842\\ =0.0158\end{array}$