(b) Suppose that a married man is selected at random and a married woman is selected at random. Find the approximate probability that the woman will be taller than the man. (c) Based on your answers...

Parts a , b and c show work please

Extracted text: (b) Suppose that a married man is selected at random and a married woman is selected at random. Find the approximate probability that the woman will be taller than the man. (c) Based on your answers to (a) and (b), are the heights of wives and their husbands independent? Explain your reasoning.


Extracted text: 6. A random sample of 400 married couples was selected from a large population of married couples. • Heights of married men are approximately normally distributed with mean 70 inches and standard deviation 3 inches. • Heights of married women are approximately normally distributed with mean 65 inches and standard deviation 2.5 inches. • There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter than her husband. (a) Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.