Question

Let x and Y be two discrete random variables, where x Takes values 3 and 4...

Let x and Y be two discrete random variables, where x Takes values 3 and 4 and Y takes the values 2 and 5. Let furthermore the following probabilities be given:
P(X=3 ∩ Y=2)= P(3,2)=0.3,

P(X=3 ∩ Y=5)= P(3,5)=0.1,

P(X=4 ∩ Y=2)= P(4,2)=0.4 and

P(X=4∩ Y=5)= P(4,5)=0.2.
Compute the correlation between X and Y.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

First we will calculate probability mass functions of X and Y

PMF of X is given by

PMF of Y is given by

Hence

Finally

Hence

Therefore correlation between X and Y

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