Exercise 1: The probability density function f (x) is shown below for 1 S x S 30 where x is a real number. The graph of f (x) is a horizontal line. I (10 1 . X 1 an a. What is P(1 S x S 23)? b. What is P(1 s x s 30)? Exercise 2: Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 1.5 months. 9 randomly selected people were asked what age they learned to walk. Round all answers to 4- decimal places where possible. a. What is the distribution X ~N ( b. What is the distribution X~N( c. What is the probability that a randomly selected person learned to walk when the person was between 9.5 and 11.5 months old? d. For the 9 people, find the probability that the average age that they learned to walk is between 9.5 and 11.5 months old. e. Find the IQR for the average rst time walking age for the 9 people