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A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint
- a. What is the probability that both machines are in operation for more than half an hour?
- b. Find the marginal probability density
functions fX(x) and fY(y). - c. Are X and Y independent? Explain.
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Statistics for Engineers and Scientists
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