Posted by **please help!** on Tuesday, May 13, 2014 at 9:45pm.

An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent. On the other hand, the firm reports that the yearly returns on tax-free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent.

(a)

Use the investment broker’s report to estimate the maximum yearly return that might be obtained by investing in tax-free municipal bonds. (Round your answer to the nearest whole percent.)

Maximum yearly return 32%

(b)

Find the probability that the yearly return obtained by investing in common stocks will be higher than the maximum yearly return that might be obtained by investing in tax-free municipal bonds. (Round your answer to 4 decimal places.)