One of the variables collected in the Ontario Birth Registry data is pounds gained during pregnancy. According to

data from the entire registry for 2018, 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. Showing your work, calculate the probability that a randomly selected mother in Ontario in 2018 gained:

a) Less than 15 pounds during pregnancy.

b) More than 40 pounds.

c) Between 14 and 40 pounds.

d) Less than 10 pounds.

e) Between 10 and 20 pounds.

I do not believe I am reading the z-table correctly.

Thank you.