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

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.

Answer by edjones(8007) (Show Source): 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
RELATED QUESTIONS
Suppose 60% of all people who are eligible for jury duty in a large Florida city are in... (answered by robertb)

60% of all people are eligible for jury duty and favor capital punishment. A jury of 12... (answered by stanbon)

In a small county, there are 140 people on any given day who are eligible for jury duty.... (answered by ikleyn)

In orange county, 12% of those eligible for jury duty are left-handed. Among 250 people... (answered by stanbon)

5. in a particular calendar year 10 percent of the registered voters get called for for... (answered by jorel555)

A survey of 1000 students at a large university asked students about their view on... (answered by ikleyn)

A survey of 1000 students at a large university asked students about their view on... (answered by greenestamps,math_tutor2020)

During a period of 11 years 1908 of the people selected for grand jury duty were... (answered by Boreal)

Here is my question (I have searched the textbook, tried every potential formula yet I am (answered by zach222)