Students in the psychology department at General State University consume an average of 7 sodas per day with a standard deviation of 2.5. The distribution is normal.

a. What proportion of students consumes an amount equal to or greater than 6 sodas per day?

b. What proportion of students consumes an amount equal to or greater than 8.5 sodas per day?

c. What proportion of students consumes an amount between 6 and 8.5 sodas per day?

d. What is the percentile rank for an individual who consumes 5.5 sodas per day?

e. How many sodas would an individual at the 75th percentile drink per day?