The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - NV 0³ ( Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days. 0.9944✔ or c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252 days. 0.1530✔ Please show the following answer to the nearest day in the whole number. d. The 89th percentile pregnancy length in this village is days.

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