The lengths of human pregnancies are approximately normally distributed, with mean = 266 days and standard deviation = 16 days. Do problems 1 - 6. 1. Find the probability of a pregnancy lasts more than 270 days? 2. Find the probability of a pregnancy lasts less than 250 days? 3. Find the probability of a pregnancy lasts between 240 and 280 days? 4. What is the probability that a randomly selected pregnancy lasts more than 280 days? 5. What is the probability that a randomly selected pregnancy lasts no more than 245 days? 6. A "very preterm" baby is one whose gestation period is less than 224 days. Are very preterm babies unusual? (When the probability is less than 0.05, it is unusual.) A simple random sample of size = 49 is obtained from a population with = 80 and = 14. Do problems 7 - 10. 7. Describe the sampling distribution of by finding the followings: a) shape b) center c) spread 8. What is ( > 83)? 9. What is ( 75.8)? 10. What is (75.8 < < 83)