6) There is a small hospital with only five free beds. On a given day, it will admit a mean of 2.1 patients. What is the probability it will run of beds today? 7) The braking distance for a used car being inspected is normally distributed with mean 120 feet and standard deviation 20 feet. The bottom 10 percent of used cars being inspected are rejected. What is the cutoff distance? 8) The tires manufactured by ABC tire company have lifespans of mean 42000 miles with standard deviation 7800 miles. If 80 tires are sampled, what is the probability that the sample mean of their lifespans is between 40,000 and 43,000 miles?