Question 1: Given a binomial random variable with n=10 and p= .3, use the formula to find the following probabilities:
a) P(X = 3)
b) P(X = 5)
c) P(X= 8)
Question 2: In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of all voters are Independent. A survey asked 25 people to identify themselves as Democrat, Republican, or Independent:
a) What is the probability that none of the people are Independent?
b) What is the probability that fewer than five people are independent?
c) What is the probability that more than two people are Independent?