question 1 .A study discovered that Americans consumed an average of 12.4 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.3 pounds. Complete parts a through e below.

a. What isthe probability that an American will consume lessthan 9 pounds of chocolate next year? (Round to four decimal places as needed.)

b. What isthe probability that an American will consume more than 11 pounds of chocolate next year? (Round to four decimal places as needed.)

c. What isthe probability that an American will consume between 10 and 13 pounds of chocolate next year? (Round to four decimal places as needed.)

d. What isthe probability that an American will consume exactly 12 pounds of chocolate next year? (Round to four decimal places as needed.)

e. What isthe annual consumption of chocolate that representsthe 60th percentile? The 60th percentile is represented by an annual consumption of pounds of chocolate. (write an integer or decimal rounded to one decimal place as needed.)

Question 2.

According to a research institution, the average hotel price in a certain year was $101.83. Assume the population standard deviation is $25.00 and that a random sample of 50 hotels was selected. Complete parts a through d below.

a. Calculate the standard error of the mean. x = $ (Round to two decimal places as needed.)

b. What isthe probability that the sample mean will be lessthan $104? P( x < $104 = (Round to four decimal places as needed.)

c. What isthe probability that the sample mean will be more than $107? P( x > $107 = (Round to four decimal places as needed.)

d. What isthe probability that the sample mean will be between $100 and $102? P $100 x $102 = (Round to four decimal places as needed.)