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05 - STATISTICS 401.3 Final Exam IDN Fall 2005 NAME...

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STATISTICS 401.3 Final Exam Fall 2005 IDN: NAME: . Directions: This test consists of 5 problems. Write all of your answers in the space provided. If you need more space, use the back. You may use the textbook and any notes you wish. You have 1 hour and 50 minutes. Partial credit will be assigned where appropriate, so it is in your best interest to SHOW ALL OF YOUR WORK. This is a 100-point test. The point value of each problem-part is shown in parentheses. Problem: 1 2 3 4 5 Total Possible: 14 20 22 21 23 100 Score: 1
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Problem 1. 1. (4 points) We select a student-athlete from a small private high school at random. Let A be the event { the student-athlete is male } and B be the event { the student-athlete prefers track } . We are told that the proportion of male-athletes who prefer track is the same as the proportion of student- athletes who prefer track ( which then is also the same as the proportion of female-athletes who prefer track ). This statement implies that ( circle one ): A The events A and B are disjoint. B The events A and B are independent. C The events A and B are both disjoint and independent. D The events A and B are neither disjoint nor independent. 2. (4 points) In the same small private high school, sixty-five percent of the student-athletes are male, and are allowed to participate in three varsity sports: football, basketball, and track. However, the female athletes are allowed to participate in only basketball and track. Thirty percent of the student- athletes say that football is their favorite sport in which to compete, while 50% prefer basketball and 20% prefer track. Place this information in the table below.
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