Did you know that from 1914 to 2014, the global mean height for men increased from 162 to 171 cm and for women, it increased from 151 to 159 cm2 ? Assume that heights (of both men and women) are normally distributed with the mean height of 171 cm (67.3 in) for men and 159 cm (62.6 in) for women and that the standard deviations of these normal distributions are equal to 5.4% of their means (this percentage is the same for the distributions of both men and women heights). If you are a man, calculate the probability that a randomly chosen man is taller than you. If you are a woman, calculate the probability that a randomly chosen woman is taller than you. [Note. 1 in = 2.54 cm