5.According to the Boston Globe in 2012, a typical college student graduated with $27,200 of debt. Let debt among recent college graduates be normally distributed with a standard deviation of $7,000.

a.Determine the probability that the average debt offourrecent college graduates is less than $25,000. Show or explain your thinking.

b.Determine the probability that the average debt offourrecent college graduates is more than $30,000. Show or explain your thinking.