Problem 6a.Let n(z) = where z is any number. This is the Standard Normal Curve. Find and , the first and second derivative. Using the rules of calculus find, if they exist, the maxima, minima, and inflection points. Find, if they exist, the intervals of increase, decrease, concave up, and concave down. What are the roots of n(z)? What are the vertical intercepts? Sketch (nicely) the graph of n(z). Discuss any symmetry.

b Let where 0

The two curves above are important curves in statistics and the financial markets. Rates of return tend to be distributed normally. Future prices tend to be distributed log-normally.