The population mean of the annual salary of registered nurses is $38,000 with a standard deviation of $8,700. A random sample of 60 registered nurses is drawn. Use the Central Limit Theorem to answer parts a) & b). (1.5 point each) a) What is the probability that the mean annual salary of the sample is less than $35,000? b) What is the probability that the mean annual salary is between $40,500 and $50,500?