2 years ago

You start at (0, -1). You move left 3 units and right 6 units. Where do you end?

Mathematics

1 answer:

Lana71 [14]2 years ago

8 0

You would end up at (3,-1)
moving left and right is the x
moving up and down is the y

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MA_775_DIABLO [31]

We obtain the joint PMF directly from the joint MGF:

$M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}$

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Then

$\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}$

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