a coffee vending machine is set to fill a cup with an average of 6.5 ounces of soft drink. The amountof fill varies. Sometimes the machine overfills the cup until it overflows and sometimes it fills it under thelegal minimum. Suppose the amount of fill, X, follows the Normal distribution with an average of 6.5 ouncesand a standard deviation of 0.3 ounces.

What is the probability that a 7-ounce cup overflows, that is, P(X>7). what isthe probability that a single fill is between 6 and 6.8 ounces, that is, P(66.7)P(x>6.7).