The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days and a standard deviation of 17 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X ~ ? Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted beyond 290 days. c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 221 and 230 days. Please show the following answer to the nearest day in the whole number. d. The 85th percentile pregnancy length in this village is days