Assume that the population of a certain class of mutual funds has an average rate of return of 8.0% with a standard deviation of 3.0%. If a sample size of 35 mutual funds is randomly selected, answer the following questions.
1. Calculate the probability that the sample mean will be more than 9.0%?
2. Calculate the probability that eh sample mean will be less than 7.5%?
3. Calculate the probability that the sample mean will be between 5.0% and 7.0%?