15. If *X* is a normal random variable with parameters ** = 10 and ** = 36,...

15. If *X* is a normal random variable with parameters *μ* = 10 and *σ²* = 36, compute

(a) *P(X > 5)*;

(b) *P(4 < X < 16)*;

(c) *P(X < 8)*;

(d) *P(X < 20)*;

(e) *P(X > 16)*.