If X and Y are independent random variables with means E[X] = 2 and E[Y] = 3, what is the expected value of XY?Review LaterE[XY] = 5E[XY] = 6E[XY] = 7E[XY] = 8

Let X and Y be two continuous random variables, Find E(X+Y)*E(X)+E(Y)E(X)-E(Y)E(X)E(Y)E(X)/E(Y)

If 𝑋X and 𝑌Y are independent random variables with 𝐸[𝑋]=1E[X]=1, Var(𝑋)=2Var(X)=2, 𝐸[𝑌]=3E[Y]=3, and Var(𝑌)Var(Y) = 4, then find 𝐸[(2𝑋+3𝑌)2]E[(2X+3Y) 2 ].

Find the general solution of each of the equation if one solution is given (i) xy′′ + (2x + 1)y′ + (x + 1)y = 0, y1(x) = e −x

xpand f(xy) = e"sin y in the powers of x and y as far as the terms of third degree

FIND dy/dx by implicit differentiation1.x^3+y^3-6xy=02.x^2+xy^2+y^2=13.sqrt(x+y)+xy=214.(x-y)^3=(x+y)^25.y=4(x^2+y^2)6.y^2=(3x+1/2x-3)7.y^2-3x+2y=0