Data were collected on the ages, in years, of the men and women enrolled in a large sociology course. Let the random variables X and Y represent the ages of the men and women, respectively. The distribution of X has mean 20.7 years and standard deviation 1.73 years. The distribution of Y has mean 20.2 years and standard deviation 1.60 years. Of all of those enrolled in the course, 41 percent are men and 59 percent are women.
a. What is the mean age of the combined distribution of both men and women in the course?
b. What is the standard deviation of the combined distributions for both men and women in the course?
a. What is the mean age of the combined distribution of both men and women in the course?
b. What is the standard deviation of the combined distributions for both men and women in the course?