1. A hospital administrator knows from past experience that the amount of resuscitation kits needed per month is (approximately) normally distributed with mean of 120 and a standard deviation of 6. Determine the probability that in a randomly selected month, the hospital will need more than 130 resuscitation kits.
The date of births is approximately normally distributed with a mean at 280 days gestation (this is the so-called “due date”) and a standard deviation of 8 days. Suppose that a pregnant woman will have a scheduled cesarean section to deliver her baby.
Determine how many days before the due date the cesarean section should be carried out so that there is no more than a 10 percent chance that the woman will go into labor before that date.