Chapter 4.3, Problem 1Q

Use Appendix Table A.1 to evaluate the following integrals. In each case, draw a diagram of $f_Z\left(z\right)$ and shade the area that corresponds to the integral.

• (a) ${\displaystyle {\int }_{-0.44}^{1.33}\frac{1}{\sqrt{2\pi }}{e}^{-z^2\text{/2}}dz}$

• (b) ${\displaystyle {\int }_{-\infty }^{0.94}\frac{1}{\sqrt{2\pi }}{e}^{-z^2\text{/2}}dz}$

• (c) ${\displaystyle {\int }_{-1.48}^{\infty }\frac{1}{\sqrt{2\pi }}{e}^{-z^2\text{/2}}dz}$

• (d) ${\displaystyle {\int }_{-\infty }^{-4.32}\frac{1}{\sqrt{2\pi }}{e}^{-z^2\text{/2}}dz}$