Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Textbook Question
Chapter 5.3, Problem 5.35E
Consider a Poission random variable with
a.
b.
c.
d.
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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 5 Solutions
Introduction to Probability and Statistics
Ch. 5.2 - O Canada! The National Hockey League (NHL) has 80%...Ch. 5.2 - Prob. 5.28ECh. 5.2 - Whitefly Infestation Suppose that 10% of the...Ch. 5.2 - Color Preferences in Mice In a psychology...Ch. 5.2 - Back Pain Six in 10 aduts say lower back pain...Ch. 5.2 - Prob. 5.32ECh. 5.2 - Prob. 5.33ECh. 5.2 - Man’s Best Friend According to the Humane Society...Ch. 5.3 - Consider a Poission random variable with =2.5. Use...Ch. 5.3 - Consider a Poission random variable with =3. Use...
Ch. 5.3 - Consider a Poission random variable with =3. Use...Ch. 5.3 - Consider a Poission random variable with =0.8. Use...Ch. 5.3 - Let x be a Poisson random variable with mean =2....Ch. 5.3 - Prob. 5.40ECh. 5.3 - Prob. 5.41ECh. 5.3 - Prob. 5.42ECh. 5.3 - Prob. 5.46ECh. 5.3 - Prob. 5.48ECh. 5.4 - Prob. 5.49ECh. 5.4 - Let x be the number of successes observed in a...Ch. 5.4 - Prob. 5.51ECh. 5.4 - Prob. 5.52ECh. 5.4 - Prob. 5.53ECh. 5.4 - Candy Choices A candy dish contains five blue and...Ch. 5.4 - Defective Computer Chips A piece of electronic...Ch. 5.4 - Gender Bias? A company has lIve applicants for two...Ch. 5 - Prob. 5.59SECh. 5 - Under what conditions can the Poisson random...Ch. 5 - Prob. 5.61SECh. 5 - Tossing a Coin A balanced coin is tossed three...Ch. 5 - Prob. 5.63SECh. 5 - Cancer Survivor Rates The 10-year survival rate...Ch. 5 - Prob. 5.65SECh. 5 - Prob. 5.66SECh. 5 - Prob. 5.67SECh. 5 - Prob. 5.68SECh. 5 - Psychosomatic Problems A psychiatrist believesthat...Ch. 5 - Prob. 5.75SECh. 5 - Prob. 5.77SECh. 5 - Prob. 5.78SECh. 5 - Prob. 5.79SECh. 5 - Dark Chocolate Despite reports that dark chocolate...Ch. 5 - Prob. 5.81SECh. 5 - Prob. 5.82SECh. 5 - Prob. 5.85SECh. 5 - Prob. 5.90SECh. 5 - Earthquakes! Suppose that one out of every 10...Ch. 5 - Prob. 5.92SECh. 5 - Prob. 5.94SECh. 5 - Prob. 5.95SECh. 5 - Prob. 5.96SECh. 5 - Prob. 5.97SECh. 5 - Prob. 5.98SECh. 5 - McDonald’s or Burger King? Suppose that 50% of all...Ch. 5 - Prob. 5.100SE
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