1.1 A coffee-dispensing machine used in cafeterias is set to dispense coffee with an average fill of 230 ml and a standard deviation of 10 ml per cup. Assume that the volume dispensed is normally distributed. (a) For a randomly selected cup dispensed by the machine, what is the probability that: (i) the cup is filled to more than 235 ml? (ii) the cup is filled to between 235 ml and 245 ml? (iii) the cup is less than 220 ml full? (10) 1.2 The service time of the first service of a BMW is found to be normally distributed, with a mean of 70 minutes and a variance of 81 minutes. (a) If a customer brings her BMW in for its first service, what is the probability that the car will be ready within one hour? (2)