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Let X, Y are two continuous random variables with the following joint probability density function f(x, y) = (4xy, 0≤x≤
Posted: Mon Jul 11, 2022 10:59 am
by answerhappygod
- Let X Y Are Two Continuous Random Variables With The Following Joint Probability Density Function F X Y 4xy 0 X 1 (34.36 KiB) Viewed 29 times
Let X, Y are two continuous random variables with the following joint probability density function f(x, y) = (4xy, 0≤x≤ 1,0 ≤ y ≤ 1 0 otherwise Find the expected value ( E(X)) and the variance (Var (X)) of X. Hint: The expected value for random variable X is given by E(X) = ²x f(x,y) dA E(X²) = ²x² f(x,y)dA_Var (X) = E(X²) – (E(X))²