Given that 30% of a community is Hispanic, when randomly selecting a jury of 12 persons, what are the following probabilities? (Hint: a binomial distribution).
1. that exactly 5 will be Hispanic P(X=5/12, .30)
2. that fewer than 3 will be Hispanic P(X < 3/12, .30)
3. that 7 will not be Hispanic P(not X= 7/12, .70) =?
4. that 3 or more will be Hispanic P (X>or=3/12, .30)
5. What is the mean of the non-Hispanic probability distribution?
6. What is the standard deviation of the non-Hispanic probability distribution?
7. What is the mean of the Hispanic probability distribution?