If X∼Uniform(0,2)X \sim \text{Uniform}(0, 2)X∼Uniform(0,2), what is the MGF MX(t)M_X(t)MX(t)?
e2t−12t\frac{e^{2t}-1}{2t}2te2t−1
et−1t\frac{e^{t}-1}{t}tet−1
e2t/te^{2t}/te2t/t
e2t−1t\frac{e^{2t}-1}{t}te2t−1