According to a January 2013 survey by the Pew Research Center, the percentage of Americans who trust the government in Washington has decreased steadily since Bill Clinton left office.6 Today, approximately 30% of Americans say they trust the government (always or most of the time). Suppose three Americans are selected at random. Let X be the number who trust the government.
a. Construct the probability distribution for X. Construct the corresponding probability histogram. (How do I get probability of each one?)
b. What is the probability that all three Americans trust the government?
c. What is the probability that at least one of the three trusts the government?