One of the variables collected in the North Carolina Birth Registry data (A-3) is pounds gained during pregnancy. According to data from the entire registry for 2001, the number of pounds gained during pregnancy was approximately normally distributed with a mean of 30.23 pounds and a standard deviation of 13.84 pounds.

a) what is the probability that a randomly selected mother in North Carolina in the year 2001 gained more than 30 pounds during her pregnancy?

B) If 5 of these mothers are chosen at random, what is the probability that at least 4 of them gained more than 30 pounds during pregnancy?

C)What is the expected value of the number of mothers who have gained more than 30 pounds in a sample of 5 randomly chosen mothers?