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1. Suppose that X is Pareto distributed with parameters α and K. a) Let y> 0. Show that XY is integrable if and only if
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1. Suppose that X is Pareto distributed with parameters α and K. a) Let y> 0. Show that XY is integrable if and only if
1. Suppose that X is Pareto distributed with parameters α and K. a) Let y> 0. Show that XY is integrable if and only if y< a. b) Determine the Lebesgue density of the distribution of X, and show that E(X)= k/(α-1) if a > 1 as well as K².a o²(X) = if α > 2. (α-1)² (α-2)
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