Question 444069: Thirty percent of the population in a southwestern community are Spanish-speaking Americans. A Spanish-speaking person is accused of killing a non-Spanish-speaking American and goes to trial. Of the first 12 potential jurors, only 2 are Spanish-speaking Americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury composition is common. Compute the probability and discuss the assumptions.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Thirty percent of the population in a southwestern community are Spanish-speaking Americans. A Spanish-speaking person is accused of killing a non-Spanish-speaking American and goes to trial.
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Of the first 12 potential jurors, only 2 are Spanish-speaking Americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury composition is common. Compute the probability and discuss the assumptions.
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Binomial Problem with n = 12 and p = 0.30
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P(x = 2) = 12C2(0.3)^2*(0.7)^10 = binompdf(12,0.3,2) = 0.1678 = 16.78%
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So the probabiity of that happenin is close to 17%.
I'll leave the discussion to you.
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Cheers,
Stan H.
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