1. You need to show ALL your calculations to merit full points. You'll get partial points if you show the final answers only. 2. Round off all calculations to four decimal places (e.g., 9.3245). If the answer is in percentage, round your final answer to 2 decimal places (e.g., 8.64%) Problem #1. Bingo's bookstore wants to determine how much of its floor space to use for books, and how much for games and movies. 500 customers are asked if they visit the store primarily for books, or primarily for games and movies. The customers are also divided by age group. The results of this survey are shown in the contingency table below: Under 20 years old Books 130 20 years old or more 180 Total 310 Games & Movies Total 45 175 145 325 190 500 One customer is selected at random. Find the following probabilities. Express your answers as percentage. (10 points) a. The person is under 20 years old or primarily visits the store for games and movies. (2 pts) b. The person is 20 years old and more or primarily visits the store for books. (2 pts) c. The person is under 20 years old given that he/she visits the store for books. (2 pts) d. Are age & primary merchandise statistically independent events? You must perform test of independence. (4 pts)|