SOLUTION: 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. of t

Question 482987: 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. 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. What do you think?
I am having trouble with this problem could someone please help me out the only thing the teacher told me was that this problem is binomial and I have been wrecking my brain trying to figure this answer out. Thank you for your help.
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. 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. What do you think?
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Binomial Problem with n = 12 and p = 0.30
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P(x=2) = 12C2(0.30)^2(0.70)^10 = 0.1678 = 16.78%
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Cheers,
Stan H.
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