Let the random variables x and y have joint pdf as follows:

f(x, y)=3/4(x^2+3y^2), 0< x < 1, 0< y < 1

a). find the marginal densities of x and y .
b). find the cdf of x and cdf ofy.
c). determine the conditional pdf’s f1(x|y) and f2(y|x).
d). finde(x)ande(y).
e). findvar(x)andvar(y).
f). find cov(x, y).
g). find p(y < 1/3|x =1/3).
h). finde(y|x=1/2)

Phoebe runs a t-shirt printing business. she ships the t-shirts to retailers in boxes of 200. she has two automated printing machines that can print designs on t-shirts. one machine can print 200 t-shirts in 50 minutes. the other machine can print 200 t-shirts in 150 minutes. if the two machines work at the same time, they can print 200 t-shirts in ….. minutes.