4.) Suppose the annual return on investment X follows a Normal distribution with a population average of 7.1% and a standard deviation of 14.9%.

(a) Find the probability that X is negative next year.

(b) Sketch the (bell-curve) density function for the above probability distribution, nicely! Mark and label the and 2 points on the horizontal scale.

(c) On your graph, show the answer to (a) on the distribution in (b), labeling its major features.

(d) Find the 32^nd percentile of the annual return on the above investment.

(e) Sketch the distribution a second time, below, then add and label the 32^nd percentile you found above, as well as the corresponding probability region to this second graph.