The amount of coffee an automatic machine dispenses (in ounces) can be represented by the normal distribution X~N(10.2,0.62). (a) What range does 68% of the quantity of coffee dispensed lie between? (b) Draw a diagram that represents each of the following. (i) the percent of cups dispensed that contains greater than 10.8 oz (ii) the percent of cups dispensed that contains between 9.6 oz and 10.2 oz (iii) the percent of cups dispensed that contains less than 9 oz (c) Is there a significant risk of a 12-oz cup overflowing? Explain.