Calculation of expectation and variance and covariance


Calculation of Expectation and Variance and Covariance.
Suppose (Y1, Y2) has the subsequent joint probability mass function p(1; 2) = 0:3; p(2; 3) = 0:3; p(1; 3) = 0:2; p(1; 4) = 0:2:

1) Find P (Y1 + Y2 = 5).

2) Find the marginal pmf's for Y1 and Y2.

3) Find EY1 and EY2.

4) Compute the variances of Y1 and Y2.

5) Compute the covariance of Y1 and Y2.

6) Compute the correlation between Y1 and Y2.

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Basic Statistics: Calculation of expectation and variance and covariance
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