1. Among coffee drinkers, men drink a mean of 2.5 cups per day with a standard deviation of 0.5 cups. Assume the number of drinking per day follows a normal distribution.
a. What is the probability that a man drinks less than 3.5 cups per day?
b. What is the probability that a man drinks more than 3.5 cups per day?
c. What is the probability that a man drinks less than 2 cups per day?
d. If the top 5% of coffee drinkers are considered heavy coffee drinkers, what is the minimum number of cups consumed by a heavy coffee drinker?
2. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What is the probability that a randomly selected individual has a diastolic blood pressure less than 90?