Question

Asked Oct 31, 2019

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Two fair dice are rolled. Let X denote the smallest value of the two dice, and Y denote the product of the two dice.

(a) Find fX,Y(x,y), fX(x), and fY(y) [you do not need to determine the mathematical function for these, it is fine to just list the probabilities].

(b) Find prob(X=2|Y=12) and prob(Y=12|X=2).

(c) Find E(Y|X=2). (d) Find Cov(X,Y).

(e) Find Corr(X,Y).

Step 1

Hello! As you have posted 5 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.

Step 2

(a).

From the given information, two fair dice are rolled.

Step 3

Let us define the random variable *X *as smallest value of the two...

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