In the United States, 50% of workers classified as “private industry workers,” those working for non-government businesses, earn an hourly wage of $22.27 or more (SOURCE: National Compensation Survey: Occupational Earnings in the United States, 2010, Bulletin 2753, http://www.stats.bls.gov/ncs/ebs/). Suppose a particular family has a history of working for the government. The family has two parents and four adult-age kids. a. What is the probability th

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. In the United States, 50% of workers classified as “private industry workers,” those working for non-government businesses, earn an hourly wage of $22.27 or more (SOURCE: National Compensation Survey: Occupational Earnings in the United States, 2010, Bulletin 2753, http://www.stats.bls.gov/ncs/ebs/). Suppose a particular family has a history of working for the government. The family has two parents and four adult-age kids.

    a. What is the probability that both parents and half of the kids are in the higher earning bracket of government workers?

    b. What is the probability that only one parent and one child fall into the higher earning bracket of government workers?

    c. Why is it not possible to group the entire family together as a unit of six individuals and “select two” to calculate the answer to Part b)? Calculate the answer to verify that you do not obtain the same probability by finding it this way.

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