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Let the random variable X be the lifetime of a new type of computer chip. The manufacturer says that the probability that the chip will

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Let the random variable X be the lifetime of a new type of computer chip. The manufacturer says that the probability that the chip will last longer than t years is given by P(X > t) = 5t- for t > 5. Note that the chip is 100% guaranteed to last at least 5 years. (a) Find the CDF for X. (b) Find the PDF for X and show that it verifies the two properties of a PDF. (c) Find P(X

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