In a recent survey, ten percent of the homes in Montana were found to own a Miley Cyrus action figure. In a sample of ten homes:
1. What is the probability that exactly three homes own a Miley Cyrus action figure?
2. What is the probability that less than five homes own a Miley Cyrus action figure?
3. What is the probability that seven or more homes own a Miley Cyrus action figure?
4. What is the expected value of the probability distribution?
5. What is the standard deviation of the probability distribution?