A two-dimensional random variable

(x,Y)

has a density\

g(x,y)=(x^(2))/(2)e^(-y)1_({0)

{

y}

\ a) Determine the distribution of the variable

Y

.\ b) Calculate the value of the cumulative distribution function of the variable

(x,Y)

at point

(1,1)

.\ c) Determine the distribution of the variable

(Y)/(x)

.

5. A two-dimensional random variable (X,Y) has a density g(x,y)=2x2ey1{0xy}. a) Determine the distribution of the variable Y. b) Calculate the value of the cumulative distribution function of the variable (X,Y) at point (1,1). c) Determine the distribution of the variable Y/X