1. Among coffee drinkers, men drink a mean of 2.5 cups per day with a

1. Among coffee drinkers, men drink a mean of 2.5 cups per day with a

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? (2pt)b. What is the probability that a man drinks more than 3.5 cups per day? (2pt)c. What is the probability that a man drinks more than 2.5 cups per day but drinks less than 4 cups? (2pt)d. If the top 5% of coffee drinkers are considered heavy coffee drinkers, what is the minimum number ofcups consumed by a heavy coffee drinker? (2pt)2. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and astandard deviation of 12.a. What is the probability that a randomly selected individual has a diastolic blood pressure less than90? (2pt)b. If someone has a diastolic blood pressure of 100, what percentile does this represent? (2pt)