The age of a group of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One woman is randomly selected from the group and her age is observed.
a. Find the probability that her age will fall between 55 and 60 years.
b. Find the probability that her age will fall between 47 and 53 years.
c. Find the probability that her age will be less than 35 years.
d. Find the probability that her age will exceed 40 years.