SOLUTION: Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly fraw one.person from the group. (a)What is th

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly fraw one.person from the group. (a)What is th      Log On


   



Question 1070537: Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly fraw one.person from the group.
(a)What is the probability that the drawn person is unemployed ?
(b)Given that the drawn person is unemployed ,what is the probability that the drawn person is a female?
(c)Intuitively reason why the answer in (b)is hgher than 40%?

Answer by stanbon(75887) About Me  (Show Source):
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Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly draw one.person from the group.
(a)What is the probability that the drawn person is unemployed ?
(0.2*0.4+0.1*0.6) = 0.14
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(b)Given that the drawn person is unemployed ,what is the probability that the drawn person is a female?
P(unemployed | female) = P(unemployed AND female)/P(female) = 0.2/0.4 = 0.5
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(c)Intuitively reason why the answer in (b) is higher than 40% ?
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Cheers,
Stan H.
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