2 Consider the joint density function a Find k to make the a

2. Consider the joint density function

a. Find k to make the area under fXY equal one
b. Find the marginal probabilities fX(x) and fY(y)
c. Find the means of FXY, FX and FY.
d. Find the conditional probability fX|Y(x|1.5<y<2)
e. Find the variance and standard deviation of FX and FY.
f. Find the correlation coefficient ?XY.
g. Are X and Y independent?

Solution