Rates of Return in the S&P 500: The S&P 500 is a collection of the largest 500 publically traded companies. The rates of return of the S&P 5000 since 1950 are normally distributed with a mean of 0.007233 (.7233%) and standard deviation of 0.04135 (4.135%).
Treating the next 12 months as a random sample, what is the probability that the mean rate of return will be positive?