A study discovered that Americans consumed an average of 10.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.4 pounds. Complete parts a through c below.
a. What is the probability that an American will consume less than 6 pounds of chocolate next year?
(Round to four decimal places as needed.)
b. What is the probability that an American will consume more than 8 pounds of chocolate next year?
(Round to four decimal places as needed.)
c. What is the probability that an American will consume between 7 and 11 pounds of chocolate next year?
(Round to four decimal places as needed.)
d. What is the probability that an American will consume exactly 9 pounds of chocolate next year?
(Round to four decimal places as needed.)
e. What is the annual consumption of chocolate that represents the 80th percentile?