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4. (5 points.) A random variable X has Gamma distribution With parameters 0: = 2 and 5 = 2 and Y = a + ng.

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4. (5 points.) A random variable X has Gamma distribution With parameters 0: = 2 and 5 = 2 and Y = a + ng. Find the correlation of X and Y. 5. (5 points.) The lifetime of a part of a machine has exponential distribution With mean 7 days. If there are 100 such spare parts available, what is the approximate probability that there is still a working part available after 2 years

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