In Problem 11.18, suppose annual operating expenses are normally distributed and statistically independent random variables, with expected values of $600,000 and

$300,000 for alternatives A and B, respectively. Also, suppose the standard deviations are $50,000 for each alternative.

a. Mathematically, determine the probability of alternative B being the preferred alternative.

b. Perform a Monte Carlo simulation to obtain an estimate of the probability of alternative B being the preferred alternative.