According to a study, the length of pregnancy is normally distributed with a mean of 2T1 days and a standard deviation of 14.5 days. Let X be the length of pregnancy for a randomly selected female. 1. Describe the probability distribution of X and state its parameters p and o": X is [Selectan answer VI { pi. : 27'1 , a" = 14.5 ) 2. Find the probability that the length of pregnancy for a randomly selected female is a. less than 228.9 days. (Round the answer to 4 decimal places) b. between 24?.2 and 298.2 days. (Round the answer to 4 decimal places) c. more than 310.1 days. {Round the answer to 4 decimal places) 3. Find the 90-th percentile for the length of pregnancy. days {Round the answer to 1 decimal place)