The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 4 ounces. 18 randomly selected people are surveyed. Round all answers to 4...

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 4 ounces. 18 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

1. What is the distribution of XX? XX ~ N(,)


2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)


3. What is the probability that one randomly selected person drinks between 15 and 17.5 ounces of coffee per day?


4. For the 18 people, find the probability that the average coffee consumption is between 15 and 17.5 ounces of coffee per day.