Suppose the length a cat takes a nap (the length of a cat nap) has a population mean

of 3 hours, with a population standard deviation of 1.25 hours. Assume the length of a cat nap is normally distributed.

(a.) Find the probability that a randomly selected cat takes a nap over 4 hours in length.(

b.) If a cat has been napping for 2 hours, what is the probability that they nap at most an additional 1.5 hours?(

c.) A cat sleeps 4.35 hours. What percentile does this value represent? (d.) Find the probability that the average nap times of 4 randomly selected cats is between 2 and 3 hours