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# If one of the workers in the manufacturing and service indus

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Joined: 18 Apr 2015
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Kudos [?]: 1253 [0], given: 5955

If one of the workers in the manufacturing and service indus [#permalink]  24 Jan 2016, 14:19
Expert's post
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Question Stats:

100% (01:38) correct 0% (00:00) wrong based on 8 sessions
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#GREpracticequestion If one of the workers in the manufacturing .jpg [ 74.75 KiB | Viewed 514 times ]

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

Practice Questions
Question: 19
Page: 462
Difficulty: medium
[Reveal] Spoiler: OA

_________________
Founder
Joined: 18 Apr 2015
Posts: 6562
Followers: 107

Kudos [?]: 1253 [0], given: 5955

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