A coffee dispensing machine used in cafeterias is set to dispense coffee with an  average fill of 230ml and a standard deviation of 10ml per cup. Assume that the  volume dispensed is normally distributed. For a randomly selected cup dispensed by  the machine, what is the probability that : a. The cup is filled to more than 235ml? b. The cup is filled to between 235 and 245 ml? c. The cup is less than 220 ml full? d. If the company supplying the coffee would want only 15% of cups to exceed a  given fill level, what level of fill (in ml) does this correspond to?

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