A company is planning to introduce to the market a new brand of soft drink. The dispensing machine fills the bottles with a volume following normal distribution with mean = 30 ounces and standard deviation = .5 ounces. a. What is the probability that a randomly selected bottle from the production line contains more than 30.6 ounces of drink? (10 pts.) b. A state regulation requires that the company labels each bottle showing the volume (in ounces) of soft drinks in the marketed bottles, and that no more than 2% of the bottles should contain less than the volume printed on the label. What volume should the company print on the label in order to comply with the regulation? (10 pts.) c. These bottles are sold to stores in packages of 100. What is the probability that the average volume of the bottles in a randomly selected package is below 29.95 ounces? (10 pts.)