Chapter 6 - Section 6.4 - Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known - Exercises - Page 256: 6.36

a. $P(0 \lt z \lt Z )$ = 0.4772 $P(z \lt Z )$-$P(Z\lt 0)$ = 0.4772 $P(z \lt Z ) – 0.5$ = 0.4772 $ P(z \lt Z)$ = 0.9772 From Table IV of Appendix B, Z = 2.0 b. $P(Z \lt 0 )-P(Z\lt z) =0.4785$ $P(Z\lt z) = 0.5-0.4785 =0.0215$ From Table IV of Appendix B, Z = -2.02 c. $P(z\lt Z) = 0.3565$ From Table IV of Appendix B, Z = -0.37 d. $1-P(z\lt Z)$ = .1530 P($z\lt Z$) = 1-.1530 = 0.847 From Table IV of Appendix B, Z=1.02

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