Kyle buys two 64-packs of Coke. The amount of Coke that appears in each can varies and a can of Coke is considered "underfilled" if it contains less than 12oz. Coca-Cola states that only 10% of the cans they produce are "underfilled". Find the probability that... (Be sure to define a random variable for each part, Use TI - 84 Calculator and show used commands.

a) Kyle finds that under 5% of the cans he purchased are "underfilled".

b) Kyle finds that between 7% and 12% of the cans he purchased are "underfilled".

c) Suppose that Kyle opens each of the 128 cans he purchased and measures their contents. If he discovers that the percentage of cans that are underfilled places his sample of cans at roughly the 65% percentile, then what percentage of cans did Kyle find are underfilled?