The heights of men in a city are normally distributed with mean 171 cm and SD 7 cm, while the corresponding values for women in the same city are 165 and 6 cm respectively. If a man and a woman are...

Extracted text: The heights of men in a city are normally distributed with mean 171 cm and SD 7 cm, while the corresponding values for women in the same city are 165 and 6 cm respectively. If a man and a woman are chosen at random from this city find the probability that the woman is taller than the man.