4 Suppose that the number of ounces of soda put into a Pepsi can is normally distributed, with m = 12.05 oz and s = .03 oz.

a Legally, a can must contain at least 12 oz of soda.

What fraction of cans will contain at least 12 oz of soda?

b What fraction of cans will contain under 11.9 oz of soda?
c What fraction of cans will contain between 12 and 12.08 oz of soda?
d 1% of all cans will contain more than oz.
e 10% of all cans will contain less than oz.
f Pepsi controls the mean content in a can by setting a timer. For what mean should the timer be set so that only 1 in 1,000 cans will be underfilled?
g Every day, Pepsi produces 10,000 cans. The government inspects 10 randomly chosen cans per day. If at least two are underfilled, Pepsi is fined $10,000. Given that m  12.05 oz and s  .03 oz, what is the chance that Pepsi will be fined on a given day?