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 from among all the pros
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Question 360552: 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 from among all the prospective jurors in this city. Let X be the number of jurors in the 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 that number means in this context.
You can put this solution on YOUR website! a)
Yes, There are 2 alternatives, either they do or don't believe in the death penalty.
(x+y)^12 where x=0.6 and y=0.4
y are not in favor.
.
b)
Exactly 10 of 12 are in favor:
nCr=12C10=66
66x^10y^2=.0639
.
c)
0.6*12=7.2 mean of the distribution.
7.2 means the average number of jurors on a jury of 12 that believe in the death penalty.
.
Ed
