Example 8: Speed Dating Suppose that the height of male speed daters follows a Normal distribution with a mean of 70 inches and a standard

deviation of 3.5 inches and the height of female speed daters follows a Normal distribution with a mean of 65 inches and a

standard deviation of 3 inches. What is the probability that a randomly selected male speed dater is taller than the

randomly selected female speed dater he is paired with?