6) (21pts) A continuous random variable, X, is described as follows fx(x) 4/3 1 2 X fx(x)=3(1-(x-1)³) 1
Posted: Fri Jul 08, 2022 6:27 am
6) (21pts) A continuous random variable, X, is described as follows fx(x) 4/3 1 2 X fx(x)=3(1-(x-1)³) 1<x<2 1800-1501-0 otherwise a) Determine P[X=1.5] b) Determine an expression for E[X³]. You do not need to evaluate integral(s). Just set them up. Show enough work so I can follow your reasoning. c) Determine the CDF. You do not need to evaluate integral(s). Just set them up.
Posted: Fri Jul 08, 2022 6:27 am
6) (21pts) A continuous random variable, X, is described as follows fx(x) 4/3 1 2 X fx(x)=3(1-(x-1)³) 1<x<2 1800-1501-0 otherwise a) Determine P[X=1.5] b) Determine an expression for E[X³]. You do not need to evaluate integral(s). Just set them up. Show enough work so I can follow your reasoning. c) Determine the CDF. You do not need to evaluate integral(s). Just set them up.