Applying the rule 68-95-99.7 rule. When designing the placement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. Women have forward grip reaches that are normally distributed with a mean of 27.0 inches and a standard deviation of 1.3 inches. Use the 68-95-99.7 rule to find the indicated quantity.
a. Find the percentage of women with forward grip reaches between 24.4 inches and 29.6 inches.
b. Find the percentage of women with forward grip reaches less than 30.9 inches.
c. Find the percentage of women with forward grip reaches between 27.0 inches and 28.3 inches.