In: Statistics and Probability
12.) Facebook reports that 70% of their users are from outside of the United States and that 50% of their users log on to Facebook every day. Suppose 20% of their users are United States users log on every day. a) What percentage of Facebook’s users are from the United States? b) What type of probability is the 20% mentioned above? c) Construct a contingency table showing all the joint and marginal probabilities. d) What is the probability that a user is from the United States given that he or she logs on every day? e) Are From the United States and Log on Every Day independent? Explain 33.) In a sample of real estate ads, 64% of homes for sale had garages, 21% have swimming pools, and 17% have both features. What is the probability that a home for sale has: a) A pool, a garage, or both? b) Neither a pool nor a garage? c) A pool but no garage?