Probability based on Normal distribution.
The price of XYZ Corporation stock is normally distributed throughout the year with a mean of $42.00 per share and a standard deviation of $2.25 per share. Suppose that the stock is traded 240 days out of the year.
a. What percent of days is the price over $45.00?
b. What percent of days is the price between $38.00 and $40.00?
c. What is the stock's value at its highest on 15 days of the year? (Assume that there are 240 trading days in a year).