Assume that 12 jurors are selected from a population in which 80% of the people

Question

Assume that 12 jurors are selected from a population in which 80% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury. Find the probability of exactly 8 Mexican-Americans among 12 jurors. Find the probability of 8 or fewer Mexican-Americans among 12 jurors. The probability of 8 or fewer Mexican-Americans among 12 jurors is Which probability is relevant for determining whether 8 jurors among 12 is unusually low: the result from part (a) or part (b)? The result from part (a), because it measures the probability of exactly 8 successes. The result from part (b), because it measures the probability of 8 or fewer successes. Is 8 an unusually low number of Mexican-Americans among 12 jurors? Why or why not? Yes, because the relevant probability is less than or equal to 0.05. No, because the relevant probability is less than or equal to 0.05. No, because the relevant probability is greater than 0.05. Yes, because the relevant probability is greater than 0.05.

Explanation / Answer

a) From probability distribution table, P(8)=0.1330

b) P(8 or fewer)=0.206 (add up probability upto P(8)).

c) Probability of 8 or fewer is suitable, as it measure whether 8 is unusually low.

d) Yes, the relevant probability is greater than 0.05.

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