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Unformatted text preview: by more that 15 minutes. ( b ) Estimate the probability in part ( a ) using Markovs inequality. How does the bound compare with the exact answer? Problem 3 If X and Y are independent -square random variables with 1 and 2 degrees of freedom respectively, determine the probability that X + Y exceeds 5. Problem 4 For a Poisson random variable X with mean = 6, calculate P ( X 4 exactly, and using a normal approximation. Are the results similar? Problem 5 Let be the standard normal distribution function. If, for some constants a and b > 0, P ( X x ) = x-a b , characterize the distribution of X . Due: November 1, at 4 p.m. 1...
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This note was uploaded on 11/11/2010 for the course ORIE 3500 at Cornell University (Engineering School).