Solve clearly

21:41 9A10BMX L 73% Take Quiz Exit shown in the table below. X f(y) 1 O 0 0.20 0.27 0.30 0.10 Y 2 0.06 0.07 f(x) 1.0 (b) Calculate the E(X) and the E(Y) E( X) = E(Y) =(c) Find the conditional density function of Y given that X =1 and the conditional density function of Y given that X =0 Y f(ylX = 1) f(VIX = 0) 0 /0.56 /0.44 2 /0.56 10.44 1.0 1.0 (d) What is the E(Y | X = 1)= E(Y | X = 1)=D Question 2 30 pts Consider the following joint probability density function of two random variables X and Y f(y') is the marginal probability density function of the random variable Y and f(x) is the marginal probability density function of the random variable X (Please write the answers up to the second decimal place, e.g, if your answer is 0.7, please write it as 0.70) (a) Fill in the blanks in the marginal pdfs of X and Y