Unformatted text preview: a) E [ X 2  X > 1] = E [( X + 1) 2 ], b) E [ X 2  X > 1] = E [ X 2 ] + 1, c) E [ X 2  X > 1] = (1 + E [ X ]) 2 ? Problem 4: (Problem 5, p. 346) The liFetime oF a radio is exponentially distributed with mean oF ten years. IF you buy a ten year old radio what is the probability that it will be working For another ten years? Problem 5: (Problem 9, p. 347) Machine 1 is currently working. Machine 2 will be put into use at a time t From now. IF the liFetime oF the machine i is exponential with rate λ i , i = 1 , 2, what is the probability that machine 1 is the frst machine to Fail?...
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 Spring '08
 DENKER
 Probability, Stochastic Modeling, Probability theory, exponential random variable

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