Suppose that X-N(3, 0.16). Find the following probabilities:

(a) P(X > 3)

(b) P(X > 3.3)

(c) P(2.8 ~ X ~ 3.1)

(d) Find the 98th percentile of X

(e) Find the value c such that P(3 -c < X < 3 + c) = 0.90.