The population distribution of salaries of Americans aged between 24 to 30 after graduating with a 4-year college degree is normally distributed with mean $37000 and standard deviation $4300.

a. (2 pts)What is the cutoff value for the highest 2.5% earning college graduates? Show your work.

b. (3 pts)Between what values do the salary of 68% of college graduates lie?

c. (3 pts)What percentage of the population is contained between $28400 and $41300? Show your work.

d. (1 pt)The mean was in fact $38000 instead of $37000. How does this change in the mean affect theshapeof the distribution?