1.Suppose that the average pop song length in America is 4 minutes with a standard deviation of 1.25 minutes. It is known that song length is not normally distributed. Suppose a random sample of 25 songs is taken from the population. Show your work for a full credit.

a.What is the approximate probability that the average song length will be less than 3.5 minutes? Round to the nearest thousandth. Use Table in Appendix to solve this problem.

b.Find the probability that a single randomly selected song from the population will be longer than 4.25 minutes. Round to the nearest thousandth. Use Table in Appendix to solve this problem.