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Worksheet 2

# Worksheet 2 - ECON 2843 Worksheet 2 1 In an Econ 2843 class...

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ECON 2843 Worksheet 2 1. In an Econ 2843 class, 75 % of the students are male, 70 % are in the College of Business, and 50 % are male business students. What is the probability a randomly selected student is at least one of the following: College of Business, Male? 2. Of a set of seniors in the College of Business, 40 % did well (B or better) in Statistics 1 and 30 % did well in Statistics 2. You also know that 20 % did well in both courses. What is the probability a randomly selected student did well in Statistics 1, did well in Statistics 2, or did well in both? 3. If we randomly select a student from the group in problem (1) above and find he is a male, what is the probability he is in the College of Business? 4. Of the students taking a proficiency examination, 50 % were Engineering and 20 % passed. a. Based on this information alone, can you determine the probability that a randomly selected student was engineering and passed? b. Suppose you also find that 10 % of the students in engineering passed. What is the answer to part (a) in that case? 5. A weight control clinic finds that 70 % of the customers are female, 20 % finished the program, and 80 % either were female, finished the course, or both. What is the probability a randomly selected customer was a female and finished the course? 6. Suppose enrollment data show that for Arts and Sciences freshmen, 90 % take Statistics 1, 80 % take College Algebra, and 70 % take both courses. Show whether the events "not taking Statistics 1" and "not taking College Algebra" are mutually exclusive? 7. Show whether the events being male and being in the College of Business are independent in the situation described in problem (1) above?

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