Suppose 60% of all people who are eligible for jury duty in a large Florida city
ID: 3249157 • Letter: S
Question
Suppose 60% of all people who are eligible for jury duty in a large Florida city are in favor of capitol punishment. A jury of twelve is to be randomly selected from all prospective jurors in this city.
A. What is the expected number of jurors who favor capital punishment?
B.What is the probability that exactly 4 jurors favor capitol punishment?
C.What is the probabiltiy that no more than one juror favors capitol punishment?
D.What is the probability that at least nine jurors favor capitol punishment?
Explanation / Answer
A) Expected number of jurors who favor capital punishment = 0.6x12 = 7.2
B) Probability that exactly 4 jurors favor capitol punishment = 12C4 x 0.64 x 0.48 = 0.042
C) P(no more than one juror favors capitol punishment) = P(0) + P(1)
= 0.412 + 12C1 x 0.6 x 0.411
= 0.0003
D) P(at least nine jurors favor capitol punishment) = P(9) + P(10) + P(11) + P(12)
= 12C9x0.69x0.43 + 12C10x0.610x0.42 + 12x0.611x0.4 + 0.612
= 0.2253
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