Below you will nd the joint probability distribution to the random variables X and Y. X 0 1 2 -1 0,00 0,20 0,10 Y 0 0,10 0,10 0,20 l 0,00 0,00 0,30 a) Find the marginal distribution to X. b) Find the expected value and standard deviation to X. c) Find the marginal distribution to Y. d) Find the expected value and standard deviation to Y. e) Are X and Y independent random variables? f) Find the covariance between X and Y. (Use the second version of formula (4.33) in Newbold.) g) Find coefcient of correlation between X and Y. h) Find the probability distribution to W = X + Y. i) Find using the probability distribution you found in h) the expected value to W, Le. nd w j) Find using the probability distribution you found in h) the varaiance of W, Le. nd 03, k) Find using formula (4.30) in Newbold the expected value to W. 1) Find using formula (4.31) in Newbold the variance to W