Problem 2. Let p > 0 be a real number. Consider function f which has values...
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Problem 2. Let p > 0 be a real number. Consider function f which has values f(t) = Ct-P for t≥ 1, and f(t) = 0 for t < 1. For which values of p we can select constant C so that this function f is a probability density function for some continuous random variable? For which values of p will this random variable have finite expectation? For which values of p will this random variable have finite variance? Problem 2. Let p > 0 be a real number. Consider function f which has values f(t) = Ct-P for t≥ 1, and f(t) = 0 for t < 1. For which values of p we can select constant C so that this function f is a probability density function for some continuous random variable? For which values of p will this random variable have finite expectation? For which values of p will this random variable have finite variance?
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Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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