Introduction to Business Statistics
Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 1.3, Problem 1.4E

In 2008, Piedmont Natural Gas Corporation sold 50.4 million cubic feet of gas to residential customers, an increase of 3.7% over the previous year. Does this information represent descriptive statistics or inferential statistics? Why? Source: Piedmont Natural Gas Corporation, Annual Report 2008. p. 16.

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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).

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