Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Chapter 3.2, Problem 3JC
To determine
Identify the distribution of the given data and also identify where center might be located.
Explain about the spread out for the given values of the data.
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 3 Solutions
Intro Stats
Ch. 3.2 - Prob. 1JCCh. 3.2 - Prob. 2JCCh. 3.2 - Prob. 3JCCh. 3.2 - Prob. 4JCCh. 3.2 - Prob. 5JCCh. 3.7 - The U.S. Census Bureau reports the median family...Ch. 3.7 - Prob. 7JCCh. 3.7 - Prob. 8JCCh. 3 - Prob. 1ECh. 3 - 2. Opposites In a way, boxplots are the opposite...
Ch. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Thinking about shape Would you expect...Ch. 3 - More shapes Would you expect distributions of...Ch. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Run times One of the authors collected the times...Ch. 3 - Heart attack stays The histogram shows the lengths...Ch. 3 - 20. E-mails A university teacher saved every...Ch. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Mistake A clerk entering salary data into a...Ch. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Pizza prices The histogram shows the distribution...Ch. 3 - Neck size The histogram shows the neck sizes (in...Ch. 3 - Pizza prices again Look again at the histogram of...Ch. 3 - Neck sizes again Look again at the histogram of...Ch. 3 - Movie lengths 2010 The histogram shows the running...Ch. 3 - 34. Golf drives 2011 The display shows the average...Ch. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Prob. 37ECh. 3 - Cold weather A meteorologist preparing a talk...Ch. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - The great one During his 20 seasons in the NHL,...Ch. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Prob. 52ECh. 3 - Prob. 53ECh. 3 - Prob. 54ECh. 3 - Prob. 55ECh. 3 - ZIP codes revisited Here are some summary...Ch. 3 - Prob. 57ECh. 3 - Prob. 58ECh. 3 - Prob. 59ECh. 3 - Prob. 60E
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