(Step-by-Step) Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cups. Assume the number of cups per day follows a normal


Question: Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cups. Assume the number of cups per day follows a normal distribution.

  1. What proportion drink 2 cups per day or more?
  2. What proportion drink no more than 4 cups per day?
  3. 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?
  4. If a sample of 20 men is selected, what is the probability that the mean number of cups per day is greater than 3?

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