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 a 5 ml.. y = 2 mL. x=120 ml, r = 100 mL, and p = 0.6.

Determine the following:

(a) Covariance between X and Y

(b) Marginal probability distribution of X

(c) PX <116)

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

(e) PX 116| 102)