Solveeit Logo

Question

Statistics Question on Multivariate Distributions

Let (X, Y) be a random vector having the joint moment generating function
M(t1,t2)=(12et1+12et1)2(12+12et2)2,  (t1,t2)R2.M(t_1,t_2)=(\frac{1}{2}e^{-t_1}+\frac{1}{2}e^{t_1})^2(\frac{1}{2}+\frac{1}{2}et_2)^2,\ \ (t_1,t_2)\in \R^2.
Then P( |X + Y| = 2) equals __________ (round off to 2 decimal places)

Answer

The correct answer is 0.23 to 0.27.(approx)