Thirty percent of the population in a southwestern community are Spanish-speaking Americans.
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6. 46. 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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Solution Summary
The solution examines probability and ratios.
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P(person speaks Spanish)= 0.30
Probability of k speaking Spanish out of n=
P(2 speak Spanish of 12) = nCk * (p^k) * (1-p)^(n-k)
n=12
k=2
n-k=10
p=0.3
1-p=0.7
So,
P(2 speak Spanish of 12) = 12C2*(0.3^2) *(0.7^10) = ...
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