Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the individuals in the labor force who are American Indian, 11% are unemployed. Among the individuals in the labor force who are not American Indian, 6% are unemployed. Let A be the event that a randomly selected member of the labor force is American Indian and let B be the event that a randomly selected member of the labor force is unemployed. Determine P(A | B), the probability that a randomly selected member of the labor force is American Indian given that he or she is unemployed. Express your answer as a percentage with no decimal places.

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Chapter1: Combinatorial Analysis
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Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the individuals in the labor
force who are American Indian, 11% are unemployed. Among the individuals in the labor force who are not American
Indian, 6% are unemployed.
Let A be the event that a randomly selected member of the labor force is American Indian and let B be the event that a
randomly selected member of the labor force is unemployed.
Determine P (A | B), the probability that a randomly selected member of the labor force is American Indian given that he
or she is unemployed. Express your answer as a percentage with no decimal places.
Transcribed Image Text:Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the individuals in the labor force who are American Indian, 11% are unemployed. Among the individuals in the labor force who are not American Indian, 6% are unemployed. Let A be the event that a randomly selected member of the labor force is American Indian and let B be the event that a randomly selected member of the labor force is unemployed. Determine P (A | B), the probability that a randomly selected member of the labor force is American Indian given that he or she is unemployed. Express your answer as a percentage with no decimal places.
Expert Solution
Step 1

We have to use Bay's Formula :

P( A | B ) = P(A)*P( B | A ) P(A)*P( B | A ) +P(Ac)*P( B | Ac ) 

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