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2 months ago

The tutor i had before explained it all but the answer wasn’t loading. that’s all!

Mathematics

1 answer:

VARVARA [1.3K]2 months ago

5 0

Explanation:

The expression f(0) represents the value of the function at x=0 which means the y-intercept of the function.

the y-intercept of the graph is the point that crosses the y-axis.

From the given graph,

The y-intercept of the graph does not define.

Answer: f(0) = not defined

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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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