1) While checking receipts at Reds, it was determined that the average amount spent onfood per table was $21.50 with a standard deviation of $2.22. If we can assume thatthe amount of money spent was Normally distributed, what is the probability that theaverage of 8 checks is between $20 and $24?

2) Suppose the grades in a mathematics class are Normally distributed with a mean of 75 and a standard deviation of 10. What is the probability that a randomly selectedstudent had a grade of at least 80?

3) Suppose the age of cars on the road is Normally distributed with a mean of 7.2 years. Ifthe standard deviation is known to be 2.1 years, what is the probability that 12randomly selected cars have been on the road for between 6 and 8 years?

4) The average age of major league baseball players is 28.3 years and has a standard deviation of 2.3 years. If we can assume that ages are Normally distributed, what is theprobability that the average age of 8 randomly selected Red Sox players is less than26 years?

5) Suppose the age a student graduates from Salem State is Normally distributed. If themean age is 23.1 years and the standard deviation is 3.1 years, what is the probability that a randomly selected students had a mean age at graduation that was greater than 27?