A study discovered that Americans consumed an average of 12.8 pounds of chocolat

Question

A study discovered that Americans consumed an average of 12.8 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normall distribution with a standard deviation of 3.9 pounds. Complete parts a through e below a. What is the probability that an American will consume less than 8 pounds of chocolate next year? (Round to four decimal places as needed.) b. What is the probability that an American will consume more than 10 pounds of chocolate next year? [](Round to four decimal places as needed.) c. What is the probability that an American will consume between 9 and 13 pounds of chocolate next year? (Round to four decimal places as needed ) d. What is the probability that an American will consume exactly 11 pounds of chocolate next year? (Round to four decimal places as needed) o. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile s represented by an annual consumption of pounds of chocolato Type an integer or decimal rounded to one decimal place as needed.)

Explanation / Answer

a

b)

c)

d) probability =0 (as for continuous distribution point probabilities are 0)

e)

for 80th percentile ; z =0.8416

hence corresponding value =mean +Z*std deviation =16.1

for normal distribution z score =(X-)/ here mean=       = 12.800 std deviation   == 3.9000

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