The Tea Delish Company claims that 40% of its customers are between 35 to 45 years of age. In a random sample of 250 customers:
a. What is the probability that between 100 and 115 customers were in the 35 to 45 years age range?
b. What is the probability that more than 120 customers were in the 35 to 45 years age range?
c. What is the probability that fewer than 90 or more than 120 customers were in the 35 to 45 years age range?