Discuss the below:
Q: Birth weights of babies born to full-term pregnancies follow roughly a normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 ounces (1 pound = 16 ounces).
a. Dr. Watts has 4 deliveries (all for full-term pregnancies) coming up during the night. What is the probability that all 4 babies will weigh more than 7.5 lbs? What assumptions are you making?
b. Rachel is one of Dr. Watts' patients. Rachel had an ultrasound 3 weeks ago and the doctors established that the baby already weighed 7 lbs at that point. She is about to deliver her baby (full term). What is the probability that the baby will be more than 8 lbs?