the mean and variance
Let R have the Rayleigh density given by f(r) = re^(-1/2*r^2) for r>0. In what follows, Z is standard normal. a) Let F be the cdf of R . Find F(r) for r>0 by writing the integral for it. b) Use the mean and variance of Z to find E(R) without any further integration. c) Use properties of R^2 to find E(R^2) without any further integration, and […]