A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup. If the amount of drink is normally distributed with a standard deviation equal to 0.5 ounces,

Part a: What is the probability that a cup will contain more than 7.72 ounces?

Part b: What is the probability that a cup contains between 6.72 and 7.06 ounces?

Part c: How many cups will overflow if 7.8-ounce cups are used for the next 1000 drinks?

Part d: Below what value do we get the smallest 25% of the drinks?