Suppose your favorite coffee machine offers 12 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 13 ounces and standard deviation equal to 0.6 ounces. For each question below, sketch a graph, mark the mean, shade the area to which the answer refers and compute the percentage.
a. What percentage of cups will be filled with less than 12 ounces?
b. What percentage of cups will be filled with more than 12.5 ounces?
c. What percentage of cups will have in between 12 and 13 ounces of coffee?