Essential Statistics (2nd Edition)
Essential Statistics (2nd Edition)
2nd Edition
ISBN: 9780134134406
Author: Robert Gould, Colleen N. Ryan, Rebecca Wong
Publisher: PEARSON
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Chapter 2, Problem 5SE

a.

To determine

Find the number of homes that does not have a television.

b.

To determine

Find the number of televisions in the homes that have the most televisions.

c.

To determine

Find the number of homes that has three televisions.

d.

To determine

Find the number of homes that has six or more televisions.

e.

To determine

Find the proportion of homes that has six or more televisions.

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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.

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Essential Statistics (2nd Edition)

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