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301exam1_JDK - ESE 301 Engineering Probability First Exam...

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ESE 301 Engineering Probability First Exam, October 12, 2006 Directions: Answer each question. This is an open book and open notes exam. You may use only your textbook, my PowerPoint slides, your notes, your homework assignments, and copies of the homework solutions we dis- tributed. You may also use a calculator. You are expected to do your own work and to show how each answer has been developed. The exam is worth 100 points and each question is weighted equally. Budget your time accord- ingly. 1. Suppose that it is known that the number of items produced in a factory during a week is a random variable with mean 50. What can be said about the probability that this week’s production will exceed 75? 2. One of the games offered through the Pennsylvania Lottery is the Match 6 Lotto. In this game, you pick six numbers between 1 and 49, inclu- sive. The Pennsylvania Lottery will quick-pick an additional two sets of six numbers from 1 to 49, for you. This gives you three lines of six numbers each, for 18 numbers in total. On Tuesdays and Fridays,
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