2. Suppose that the scan times [including transitions between patients} for a CT scanner have a mean u = 30 minutes and standard deviation 0 = 8 minutes, and that the scan times for each patient are independent. Assume that there are 15 patients scheduled to be scanned on a given day. a. If the clinic is open for a total ofB hours, what is the probability that there will be enough time to scan all of the patients? b. How much time would need to be allotted for the scans to ensure with 99% probability that there will be enough time to scan all of the patients? 3. A telephone survey is conducted to estimate the voter support ofa local referendum. Suppose that 150 people are called and 65 of them indicate that they support the referendum while 85 indicate that they do not support it. a. What is the margin of error for a 95% confidence interval? b. How many people would need to be polled to be 95% confident that the estimate is in error by no more than two percentage points