EBK STATISTICAL TECHNIQUES IN BUSINESS
EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 8, Problem 34CE

a.

To determine

Find the standard error of the mean.

b.

To determine

Find the expected shape of the distribution of the sample mean.

c.

To determine

Find the likelihood of selecting a sample with a mean of at least $167,000.

d.

To determine

Find the likelihood of selecting a sample with a mean of more than $155,000.

e.

To determine

Find the likelihood of selecting a sample with a mean of more than $155,000 and less than $167,000.

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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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