Let (X, Y) be a random vector with the joint moment generating function
\(M_{X, Y}\left(t_1, t_2\right)=\left(\frac{3}{4}+\frac{1}{4} e^{t_1}\right)^2\)\(\left(\frac{5}{6}+\frac{1}{6} e^{t_2}\right)^3\), (t1, t2) ∈ ℝ2
Then P(X + 2Y > 1) is equal to
1
\(\frac{1581}{3456}\)
2
\( \frac{1875}{3456}\)
3
\(\frac{125}{3456}\)
4
\(\frac{3331}{3456}\)