Question

$\frac{-10}{12} + (2 X \frac{-1}{2}X\frac{-1}{3})$


Answer. I'll mark brainliest to correct answer

Answer 1

Answer:

Let X,Y and Z be three independent random variables with X∼N(μ,σ2), and Y,Z∼Uniform(0,2). We also know that

E[X2Y+XYZ]=13,

E[XY2+ZX2]=14.

Find μ and σ.

Solution

Problem

Let X1, X2, and X3 be three i.i.d Bernoulli(p) random variables and

Y1=max(X1,X2),

Y2=max(X1,X3),

Y3=max(X2,X3),

Y=Y1+Y2+Y3.

Find EY and Var(Y).