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If one of the workers in the manufacturing and service indus

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If one of the workers in the manufacturing and service indus [#permalink] New post 24 Jan 2016, 14:19
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If one of the workers in the manufacturing and service industries who were unemployed for at least 1 week will be randomly selected, what is the probability that the person selected will be a service industry worker who was unemployed for 26 weeks or more?

A 0.04
 B 0.09
 C 0.21
 D 0.40
 E 0.90

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Question: 19
Page: 462
Difficulty: medium

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Re: If one of the workers in the manufacturing and service indus [#permalink] New post 24 Jan 2016, 14:23
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Solution

\(\frac{the number of service industry workers who were unemployed 26 weeks or more}{the number of workers in the two industries who were unemployed at least 1 week}\)

The number of workers in the two industries who were unemployed for at least 1 week is the sum of the total numbers of workers represented by the two graphs, or 10 million+8 million=18 million.
According to the graph for the service industry, the number of workers who were unemployed for 26 weeks or more is 9% of 8 million, or 0.72 million.

The desired probability is \(\frac{0.72 million}{18million}=0.04\)

The answer is \(A\)
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If one of the workers in the manufacturing and service indus

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