CD Manufacturing Inc. wants the mean lengths of the "cuts" on a CD to be 210 seconds. This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows a normal distribution with a standard deviation of 16 seconds. Suppose that we select a sample of 20 cuts from various CDs sold by CRA CDs Inc. For answering the following questions always round z values to 2 decimal places. a) What is the probability that the sample means will be greater than 212 seconds? (Round your answer to 4 decimal places as needed) Probability:

b) What is the probability that the sample means will be less than 206 seconds? (Round your answer to 4 decimal places as needed) Probability:

c) What is the probability that the sample means will be greater than 206 but less than 212 seconds?