In the study of fingerprints, an important quantitative characteristic is the total ridge count
for the ten fingers of an individual. Suppose that the total ridge counts of individuals in a
certain population are approximately normally distributed with a mean of 140 and a standard
deviation of 50. Find the probability that an individual picked at random from this population
will have a ridge count of:

(a) 200 or more

(b) Less than 100

(c) Between 100 and 200

(d) Between 200 and 250

(e) In a population of 10,000 people, how many would you expect to have a ridge count
of 200 or more?​