MATH 534 Week 2 Addendum; Homework-Quiz Review

1. Question: True/False. 2.13 in valid probability. 2. Question: True/False. The union of two events is the probability of both events occurring 3. Question: Determine if each variable below is discrete or continuous: 4. Question: Given: We have a sample space S with several events defined on it. S={2, 4, 6, 7, 9, 12}. And the events are X={2, 6, 7} and Y={4, 6, 12} 5. Question: Consider the following probability of distribution of number of people we are likely to find waiting in line at a restaurant. 6. Question: Consider the following contingency table in which a sample of companies is summarized in terms of the company’s industry type (manufacturing and retail) and country (US, Canada, Mexico). 7. Question: Given: P(D) = .20, P(E) = .13, P(D∩E) = .11. 8. Question: Let N be the event that a person has house in North Dakota, and let F be the event that a person has a house in Florida. It is known that 5% of all people have a house in North Dakota and 12% have a house in Florida. This includes 3% that have a house in both states. 9. Question: Assume that 40% of the students who study “hard” get A’s. If the probability that someone studies “hard” is 30%, what is the probability that some studies “hard” and gets and A. 10. Question: In a certain binomial distribution problem, n=20 and p=0.10. 11. vWe roll a die 5 times, what is the probability we will get three 2’s.? 12. Question: I participate in 13 races. If the chance of me winning a race is 8%, what the probability that I win exactly 2 races? 13. Question: A company produces 5000 rulers per day. It is known that at certain ruler factory, 10% of the rulers produced are not accurate. We take a random sample of 50 rulers.