Solve the below:
Q: Suppose that the number of ounces of soda put into a Pepsi can is normally distributed with ? =12.05 ounces and ∂ = 0.03 ounce.
[Note: ? = mean and ∂ = standard deviation]
(a) Legally a can must contain at least 12 ounces of soda. What fraction of cans will contain at least 12 ounces of soda?
(b) What fraction of cans will contain less than 11.9 ounces of soda?
(c) What fraction of cans will contain at between 12 and 12.08 ounces of soda?
(d) One percent of all cans will weigh more than what value?
(e) Ten percent of all cans will weigh less than what value?
(f) Pepsi controls the mean weight in a can by setting a timer. For what mean should the meter be set so that only 1 in 1000 cans will be under weight?