Assume that a manufacturer of tennis balls produces a ball whose bounce from six feet is normally distributed with a mean of 42 inches and a variance of 4 inches.
a) Sketch the probability distribution function.
b) How often will a ball bounce more than 46 inches?
c) How often will a ball bounce less than 40 inches?
d) How often will 2 consecutive bounces be less than 40 inches (assuming the bounces are independent)?