Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Textbook Question
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Chapter 3.5, Problem 78E
According to the article “Characterizing the Severity and Risk of Drought in the Poudre River, Colorado” (J. of Water Res. Planning and Algmnt., 2005: 383-393), the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). The cited paper proposes a geometric distribution with p = .409 for this random variable.
- a. What is the
probability that a drought lasts exactly 3 intervals? At most 3 intervals? - b. What is the probability that the length of a drought exceeds its
mean value by at least one standard deviation?
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The article “Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds” (D. Harwig, W. Ittiwattana, and H. Castner, The Welding Journal, 2001:126s–136s) reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the model
The regression equation is
Elongation = 46.80 – 130.11 Oxygen – 807.1 Nitrogen + 3580.5 Oxy*Nit
Predictor
Coef
SE Coef
T
P
Constant
46.802
3.702
12.64
0.000
Oxygen
– 130.11
20.467
– 6.36
0.000
Nitrogen
– 807.10
158.03
– 5.107
0.000
Oxy*Nit
3580.5
958.05
3.737
0.001
S = 2.809
R-Sq = 74.5%
R-Sq(adj) = 72.3%
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
3
805.43
268.48
34.03
0.000
Residual Error
35
276.11
7.89
Total
38
1081.54
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Chapter 3 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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