Assume that the heights of adult men are normally distributed with mean = 69" and SD = 3", and assume female heights are normally distributed with mean = 64" and SD = 3". Suppose a man chooses his wife without regard to her height. [That is, suppose husband's heights are independent of their wife's heights
1. Find the distribution of the difference in heights for husband - wife.
2. Find the probability that the wife will be taller than her husband.
3. What will be the answers to parts a) and b) if husband's height and his wife's height are correlated with correlation . [Assume that the distribution of (husband ht) - (wife ht) is normally distributed.]