The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5 ounces. 14 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 17 ounces and a standard deviation of 5 ounces. 14 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

b. What is the distribution of ¯x? ¯x ~ N(
?  ,   ?
)

c. What is the probability that one randomly selected person drinks between 16 and 17.5 ounces of coffee per day.
 ?

d. For the 14 people, find the probability that the average coffee consumption is between 16 and 17.5 ounces of coffee per day.
?