<s>[INST] A simple random sample of size 20 for a population of size 100 that has a mean of 6 and a standard deviation of 3.2 can have an infinite number of different values. To get some idea how close the sample mean may be to the population mean, we use the central limit theorem. Compute the probability that the sample mean will be within one standard unit of the population mean. a. What is the probability that the sample mean will be less than 6 but greater than 5.60?[/INST]