Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x that solves each of the following:
(a) P(X > x) = 0.5
(b) P(X > x) = 0.95
(c) P(x < X < 9) = 0.2
(d) P(3 < X < x) = 0.95
(e) P(-x < X < x) = 0.99