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Final - Engineering Statistics ENGRD2700 PRACTICE FINAL...

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Engineering Statistics ENGRD2700 PRACTICE FINAL EXAMINATION Fall 2009 Read the warning on the front page of the exam book. All students must obey the Honor Code. This exam consists of 5 questions on four sides. They carry unequal weight. Tables of the normal, t and χ 2 distribution are provided separately. Please be “green” and return the tables unmarked so they can be re-used. You will be allowed 150 minutes to complete the exam. If you are leaving the exam early, please do not disturb the people around you who are still taking the exam. Please be sure to show enough work to make your method of solution clear. Numerical answers alone (with no supporting work) will receive no credit; partial solutions will receive partial credit. The exam is closed book. You are allowed to use two 8.5 by 11 inch sheets of notes (both sides) only. ADVICE: do not spend too much time on any one question. After that, move on to the next question. Remember — there is partial credit. 1. (15 points) Like many states, Pennsylvania holds a daily lottery. People buy lottery tickets and try to guess which three-digit number (000 through 999) will be picked each evening at 7 p.m. during a televised drawing. The winning lottery number is produced from three separate machines (one for each digit) that contain 10 Ping-Pong balls, labelled 0 through 9. The balls are blown about in a container by a jet of air and mixed. Then one is sucked through an opening at the top of the machine. The digit on that ball becomes the selected digit. In 1980, when there was concern that the PA lottery was “fixed”, the contention was that all the Ping-Pong balls except the 4’s and 6’s had been weighted down (injected with white paint using a hypodermic needle) so as to be less likely to be chosen.
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