2. Suppose that X ~ N(10, 1.1). Answer the following questions using (R) and Normal Tables. For the normal table, please calculate the z-score that is needed to look up the probability from the standard normal distribution table. When you answer the questions, provide a sketch of the normal distribution and shade in areas for the probabilities.

(a) P(X < 11)

(b) P(X > 12)

(c) P(8 < X < 12)