7.84 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)
7.97 In the United States, voters who are neither Democrat nor Republican are called Independents. It is believed that 10% of all voters are Independents. 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?
8.35 X is normally distributed with mean 250 and standard deviation 40. What value of X does only the top 15% exceed?