According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters μ and o: X~ Select an answer (fe Select an answer F T N B X² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. (Round the answer to 4 decimal places) 0 = 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~ Select an answer Select an answer N F unknown T B X² (PX ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)

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