2) X and Y have the following joint probability density function: n=4, X=2, Y=1, Z=3 Find:...

2) X and Y have the following joint probability density function:

n=4, X=2, Y=1, Z=3

Find:

a)Marginal distribution of X and Y.

b)Mean of X and Y.

c)E(XY).

d)Covariance of X and Y and comment on it.

e)Correlation coefficient between X and Y. And comment.

2) X and Y have the following joint probability density function:

{((5y^3)/(96x^2)) 2<x<5, 0<y<4

0 Elsewhere}

Find:
a) Marginal distribution of X and Y
b) Mean of X and Y
c) E(XY)
d) Covariance of X and Y and comment on it.
e) Correlation coefficient between X and Y. And comment.

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Expert Solution

orchestra answered 1 year ago

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