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The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 12 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 less than 247 c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 283 and 289 days. Please show the following answer to a whole day. d. The 70th percentile pregnancy length in this village is days