Exercise 4: In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Let X and Y denote the milliliters of acid and base needed for equivalence, respectively. Assume X and Y have a bivariate normal distribution with $\sigma_X = 5mL$, $\sigma_Y = 2mL$, $\mu_X = 120mL$, $\mu_Y = 100mL$ and their correlation coefficient is $\rho = 0.6$. Determine the following:
1. Covariance between X and Y
2. Marginal probability distribution of X
3. $P(X < 116)$
4. Conditional probability distribution of X given that Y = 102
5. $P(X < 116|Y = 102)$