Joint Moment Generating Function Help

[wannabe92]

Hi, I've no idea where to go with the question below:

Joint moment generating function of X and Y - M_XY(s,t) = 1/(1-2s-3t+6st)
for s<1/2, t<1/3.

Find P(min(X,Y) > 0.95) and P(max(X,Y) > 0.8)

 

[Ray Vickson]

Hi, I've no idea where to go with the question below:

Joint moment generating function of X and Y - M_XY(s,t) = 1/(1-2s-3t+6st)
for s<1/2, t<1/3.

Find P(min(X,Y) > 0.95) and P(max(X,Y) > 0.8)

Can you represent $M_{XY}(s,t)$ in the form $M_1(s) \cdot M_2(t)$?

RGV

 

[wannabe92]

Can you represent $M_{XY}(s,t)$ in the form $M_1(s) \cdot M_2(t)$?

RGV

Is it 1/(1-2s) . 1/(1-3t)?

 

[Ray Vickson]

Is it 1/(1-2s) . 1/(1-3t)?

Well, is it? You can answer your own question.

RGV