King Fahd University of Petroleum & Minerals Department of Mathematical Sciences Stat. 319, Quiz # 2 (semester 042) SECTION: INSTRUCTOR: MUSAWAR MALIK NAME: ID #: 1. Suppose that you are in a poorly maintained boat with two engines. What is the probability that at least one engine fails, when: P (left engine fails) = .40 P (right engine fails) = .30 P (both engines fail) = .12 2. Suppose that 100 students are surveyed about their courses. Thirty of them are taking a foreign language and 40 are taking a math course. Of these, 15 are taking both a foreign language and a math course. a. Fill in a joint probability table using the above data. b. What is the probability that one of these students selected randomly is taking a foreign language OR a math course? c. What is the probability that one of these students selected randomly is taking a foreign language given that he is taking a math course? 3. Suppose that you have a long list of names. You are told that if you pick a random name , there is a .60 probability that person is brown eyed. Assuming this is true, if you draw two names, a. What is the probability that they are both brown-eyed? b. What is the probability that neither is brown-eyed? c. What is the probability that at least one is brown-eyed? d. What is the probability that one is brown-eyed and the other is not?