Search this document 1/3 Fit to width o Problem 2: a. Is this document missing answers? Get FREE answers and explanations from our expert tutors Get answers There are practice problems on canvas Practice Problems> Probability. There is also a short note on Probability under Session 1. Problem 1 A European car manufacturer is interested in gender differences in car colors. They identify consumers who are loyal to the brand and do a survey of the colors these people like. The results of the survey of 130 people are given in the table below. Male Gender Female Black Preferred 40 10 Total 50 Silver Preferred 20 60 80 Total 60 70 130 Are gender and color preferences independent? Problem 2 Market research in a particular city indicated that during a week 18% of all adults watch a television program oriented to business and financial issues, 12% read a publication oriented to these issues, and 10% do both. a. What is the probability that an adult in this city, who watches a television program oriented to business and financial issues, reads a publication oriented to these issues? b. What is the probability that an adult in this city, who reads a publication oriented to business and financial issues, watches a television program oriented to these issues? Answer Problem 1 No, preferences regarding gender... View answer There are two events that are occurring here: Event 1: Watching a television program oriented to business and financial issues Event 2: Reading a publication oriented to these issues We are looking for the probability that an adult in this city who watches a television program oriented to business and financial issues also reads a publication oriented to these issues. This is referred to as the joint probability of the two events. The joint probability of two events can be calculated using the following formula: P(A and B) = P(A) * P(B) In this case: P(A and B) = P(Watching a television program) * P(Reading a publication) P(A and B) = 18% * 12% P(A and B) = 0.0216 Therefore, the probability that an adult in this city who watches a television program oriented to business and financial issues also reads a publication oriented to these issues is 2.16%. b. P(read) = 12% P(watch) = 18% P(read and watch) = 10% P(read/watch) = P(read and watch)/ P(watch) P(read/watch) = 10% / 18% P(read/watch) = 0.5556 Answer: 0.5556