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ISE 3414 - POR, Quiz 2 (A)
POR STUDENT NUMBER:5dPEf2-
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Dr. Bish, Fall 07, Total Points: 20
. You are allowed one letter-size page only (you can use both sides). No calculators,
laptops, cellphones, or any other electronic device .
. To obtain any credit, you must show all your work. No credit will be given otherwise.
1. (8 pt) An electrical power utility owns two 1,000 MW (megawatt) generating units and one
.500 MW generating units. If all units are functioning, the utility can therefore generate a power
of 2 x 1000 + 500 = 2,500 MW. However, units sometimes fail randomly. The total demand for
power is 1, 500 MW. Thus, if the utility can generate 1, 500 MW or more, then it will satisfy all
demand; otherwise, some demand will be unsatisfied.
Label the units such that units 1,2 are the 1,000 MW generating units, and unit 3 is the 500 MW
generating unit. We define random variables Xi, for i = 1,2,3, as follows:
Xi =f 1, if unit i is up
lo, otherwise
Assume random vari...

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