Answers toSelected Exercises
3.1. (a) 
= 16.029. (b) s = 0.0202.
3.5. (a) = 952.9. (b) s = 3.7.
3.7. (a) = 121.25. (b) s = 22.63.
3.15. Both the normal and lognormal distributions appear to be reasonable models for the data.
3.17. The lognormal distribution appears to be a reasonable model for the concentration data.
3.23. (a) = 89.476. (b) s = 4.158.
3.27. sample space: {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
3.29. (a) 0.0196. (b) 0.0198.
(c) Cutting occurrence rate reduces probability from 0.0198 to 0.0100.
3.31. (a) k = 0.05. (b) µ = 1.867, σ2 = 0.615.
(c) F(x) = {0.383; x = 1 0.750; x = 2 1.000; x = 3
3.33. (a) Approximately 11.8%. (b) Decrease profit by $5.90/calculator.
3.35. Decision rule means 22% of samples will have one or more nonconforming units.
3.37. 0.921
3.43. (a) 0.633. (b) 0.659. Approximation is not satisfactory.
(c) n/N = 0.033. Approximation is satisfactory.
(d) n = 11
3.45. Pr{x = 0} = 0.364, Pr{x ≥ 2 } = 0.264
3.47. Pr{
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