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

See similar textbooks

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Videos

Textbook Question

Chapter 4.4, Problem 66E

The two-parameter gamma distribution can be generalized by introducing a third parameter g, called a threshold or location parameter: replace x in (4.8) by x − γ and x ≥ 0 by x ≥ γ. This amounts to shifting the density curves in Figure 4.27 so that they begin their ascent or descent at g rather than 0. The article “Bivariate Flood Frequency Analysis with Historical Information Based on Copulas” (J. of Hydrologic Engr., 2013:1018–1030) employs this distribution to model X = 3-day flood volume (10⁸ m³). Suppose that values of the parameters are α = 12, β = 7, γ = 40 (very close to estimates in the cited article based on past data)

a. What are the mean value and standard deviation of X?

b. What is the probability that flood volume is between100 and 150?

c. What is the probability that flood volume exceeds its mean value by more than one standard deviation?

d. What is the 95th percentile of the flood volume distribution?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Chapter 4 Solutions

Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th

Ch. 4.1 - The current in a certain circuit as measured by an...Ch. 4.1 - Suppose the reaction temperature X (in C) in a...Ch. 4.1 - The error involved in making a certain measurement...Ch. 4.1 - Let X denote the vibratory stress (psi) on a wind...Ch. 4.1 - A college professor never finishes his lecture...Ch. 4.1 - The actual tracking weight of a stereo cartridge...Ch. 4.1 - The article Second Moment Reliability Evaluation...Ch. 4.1 - Prob. 8E Ch. 4.1 - Based on an analysis of sample data, the article...Ch. 4.1 - A family of pdfs that has been used to approximate...

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.