Q1) There are 4 inspectors who are scheduled to work 7:00 AM - 3:00 PM shift every day at nearby airport.  Each day there is a 0.15 chance that each inspector will suddenly not report for work. If there ever are less than three inspectors on duty, security checkpoint should be shut down until substitute inspector(s) can be brought in to work remainder of shift.  Let Y be number of inspectors which show up for 700 AM - 300 PM shift on given day. Find out probability that security checkpoint will be shut down tomorrow?  Past data point to that variance of measurements made on sheet metal stampings by experienced quality-control inspectors is 0.025 square inch. Such measurements made by the inexperienced inspector could have too large variance (perhaps as of inability to read instruments properly) or too small variance (perhaps because unusually high or low measurements are discarded). If new inspector measures 101 stampings with variance of 0.13 square inch, test at 0.05 level of significance whether inspector is making satisfactory measurements. Suppose normality.