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)

In the figure shown below, m < 40 and ab =8. which equation could be used to find x?

In the diagram, the ratios of two pairs of corresponding sides are equal to prove that almn - axyz by the sas similarity theorem, it also needs to be shown that x 6 z un z zz un = 2x zləzz lezy

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?