SOLUTION: Suppose 60% of all people who are eligible for jury duty in a large Florida city are in favor of capital punishment. A jury of 12 is to be randomly selected among all the prospecti

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Question 360434: Suppose 60% of all people who are eligible for jury duty in a large Florida city are in favor of capital punishment. A jury of 12 is to be randomly selected among all the prospective jurors in this city. Let X be the number of jurors inthe jury who are in favor of capital punishment. A) Does X have a binomial Distribution? Explain. B) What is the probability that 10 of the 12 jury members are in favor of capital punishment? C) Find the mean of the distribution and explain what the number means in this context.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A) Yes, X has a binomial distribution.
B) P(x=10) = %28matrix%282%2C1%2C12%2C10%29%29%2A0.60%5E10%2A0.40%5E2+=+0.0638523
C) The mean of any binomial distribution is np+=+12%2A0.60+=+7.2. We can expect that 7 out of ANY jury of 12 in that Florida city would be in favor of capital punishment