The average high school teacher salary is $43,000. Let teacher salary be normally distributed with a standard deviation of $18,000.

a) Mr.Lucky had been a teacher for only 2 years. Despite being new as a teacher, his salary is already in the top 5% of all high school salaries. Mr. Lucky must be making at least how much in salary?

b) Mr. Unucky has been a teacher for over 10 years, but his salary is in the bottom 20% of all high school salaries. Mr. Unlucky must be making at most how much in salary?

c) What percent of high school teachers make more than $80,000?