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Unformatted text preview: f ( x, y ) = C x 2 y (1-y 2 ) , x (-1 , 1) , y (0 , 1) . 5. Factory A produces a certain type of resistor. The resistor lifetime has the exponential distribution. The average resistor lasts 1,000 hours. Suppose we buy several resistors from factory A to design a couple of circuits. (a) For circuit 1, we set them in parallel, so that circuit 1 works if any of the resistors work. Compute the minimum number of resistors we need to buy in order for circuit 1 to last at least 10,000 hours with probability 95%. (b) For circuit 2, we set them in series, so that circuit 2 works if all of the resistors work. Compute the maximum number of resistors we can buy in order for circuit 2 to last at least 100 hours with probability 95%....
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This homework help was uploaded on 02/03/2008 for the course MATH MATH 180A taught by Professor Castro during the Fall '08 term at UCSD.
- Fall '08