Statistics Canada reports that 27.3% of all deaths are attributable to heart disease. Consider as unusual any result that differs from the mean by more than two standard deviations. That is, unusual values are either less than σ - 2σ or greater than µ + 2σ.
a. Find the mean and standard deviation for the number of such deaths that will occur in a typical region with 5000 deaths.
b. In one region, 5000 death certificates are examined, and it is found that 1500 deaths were attributable to heart disease. Is there cause for concern? Why or why not?