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20 Jul 2024, 10:54
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
100% (01:34) correct
0% (00:00) wrong based on 1 sessions
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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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01 Sep 2024, 10:25
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Official Explanation
The probability that the person selected will be a service industry worker who was unemployed for 26 weeks or more is equal to the following fraction.
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. Therefore, the desired probability is 0.72 million/18 million = 72/1,800= 0.04.
The correct answer is Choice A.
The probability that the person selected will be a service industry worker who was unemployed for 26 weeks or more is equal to the following fraction.
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. Therefore, the desired probability is 0.72 million/18 million = 72/1,800= 0.04.
The correct answer is Choice A.
