Introductory Statistics (2nd Edition)
Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 1, Problem 24SE

SECTION EXERCISES

2007 Population The 2009 World Almanac and Book of Facts reported that in 2007 there were 12 , 608 , 000 people age 16 or older who had a “go outside the home” disability and that this was 5.5 % of the U.S. population (of this age group). These are people who cannot go outside the home without help. How large was the total population (of this age group) in 2007?

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1. Let 2 (a, b, c)} be the sample space. (a) Write down the power set of 2. (b) Construct a σ-field containing A = {a, b} and B = {b, c}. (c) Show that F= {0, 2, {a, b}, {b, c}, {b}} is not a σ-field. Add some elements to make it a σ-field..
13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.
24. A factory produces items from two machines: Machine A and Machine B. Machine A produces 60% of the total items, while Machine B produces 40%. The probability that an item produced by Machine A is defective is P(DIA)=0.03. The probability that an item produced by Machine B is defective is P(D|B)=0.05. (a) What is the probability that a randomly selected product be defective, P(D)? (b) If a randomly selected item from the production line is defective, calculate the probability that it was produced by Machine A, P(A|D).

Chapter 1 Solutions

Introductory Statistics (2nd Edition)

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