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3. (10 points) Two light bulbs work independently of each other. Light bulb 1 is in use now, and light bulb 2 will be turned

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3. (10 points) Two light bulbs work independently of each other. Light bulb 1 is in use now, and light bulb 2 will be turned on at time t. Suppose that the life time of light bulb i follows exponential distribution with parameter );, that is, the p.d.f. is given by f(r,) = Men, r; >0, i = 1,2 What is the probability that light bulb 2 is the first to fail

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