**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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- Fall '08
- Castro
- Normal Distribution, Probability, Variance, Probability theory, probability density function, Blue Balls