5. (50 pts) If the annual incomes (in thousands of dollars) of ten household from Steilacoom, Washington. are: NAME HUSBAND'S INCOME WIFE'S INCOME JESTRAB 20 15 KERR 30 35 PARRETT 30 25 ZHAO 20 25 ZHOU 20 25 SOUSA 30 15 AYALA 40 25 CHUGH 30 25 NELSON 40 35 PECORARO 40 25 Let X and Y be random variables that are the husband's and wife's income, respectively. a. (5 pts) Tabulate the joint probability distribution of X and Y. (Note: "Tabulate" means show the distribution in tabular form.) b. (5 pts) Tabulate the marginal distribution of X. c. (5 pts) Tabulate the marginal distribution of Y. d. (5 pts) Tabulate the conditional distribution of X given Y. e. (5 pts) What is the expected value of X? f. (5 pts) What if the variance of Y? g. (10 pts) What is the covariance of X and Y? h. (10 pts) What is the correlation coefficient of X and Y