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 that X and Y have a bivariate normal distribution with σ_X = 5 mL, σ_Y = 2 mL, μ_X = 120 mL, μ_Y = 100 mL, and ρ = 0.6. 

Determine the following:

(a) Covariance between X and Y

(b) Marginal probability distribution of X 

(c) P(X < 116)

(d) Conditional probability distribution of X given that Y = 102

(e) P(X < 116 | Y = 102)