In: Statistics and Probability
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.