Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac )

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36-220 Engineering Statistics and Quality Control Spring 2004 Midterm #1 – March 3, 2004 Name: Lab Section: You have 50 minutes to complete the exam. You must sit at least one seat apart from any neighbor on EACH side (left, right). You may use ONLY the table(s) provided to you today, one formula sheet (both sides) and YOUR OWN calculator (no sharing!). Answer all questions/problems, showing your work (this includes setting up the problem– defining events and random variables clearly) and all calculations. Give relevant reasoning and formulas. Keep the exam stapled together. If you need extra space to complete a problem, write on the back side of THAT problem’s sheet. Good luck! Problem Points Possible Points Awarded 1 20 points 2 20 points 3 15 points 4 20 points 5 15 points 6 10 points Total 100 points 1
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1. (20 points) The density function of is given by 0 otherwise If , find , . 2
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2. (20 points) A -out-of- circuit is one that requires components out of to be functioning so that the circuit may function. Suppose that each component functions independently with probability 0.9. What is the probability that a 2-out-of-3 circuit functions?
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