On average, indoor cats live to 16 years old with a standard deviation of 2.7 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N( , )

b. Find the probability that an indoor cat dies when it is between 15.5 and 17.5 years old.

c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: years High: years