Four universities—1, 2, 3, and 4—are participating in a holiday basketball tournament. In the first round, 1 will play 2 and 3 will play 4. Then the two winners will play for the championship, and the two losers will also play. One possible outcome can be denoted by 1324 (1 beats 2 and 3 beats 4 in first-round games, and then 1 beats 3 and 2 beats 4). a. List all outcomes in . b. Let A denote the event that 1 wins the tournament. List outcomes in A. c. Let B denote the event that 2 gets into the championship game. List outcomes in B. d. What are the outcomes inA ?B and in A?B? What are the outcomes in A?

Answer : a) The population is all daily newspapers published in the United States A random sample of 4 daily newspapers published in United States is 1) The New York times 2) USA today 3) Los Angeles times 4) The wall Street Journal b) The population is all companies listed on the New York Stock Exchange A random sample of 4 companies listed on the New York Stock Exchange 1) ICICI Bank 2) JP Morgan Chase 3) Xerox 4) Nike c) The population is all students at your college or university A random sample of 4 students at your college or university 1) Sachin 2) Chetan 3) Devendra 4) John d) The population is all grade point averages of students at your college or university. A random sample of 4 grade point averages of students 1) 4.2 2) 3.6 3) 5 4) 4.8