A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table below summarizes the data on perceived body image by gender.

Suppose we randomly select one of the survey respondents.

a. Given that the person perceived his or her body image as about right, what’s the probability that the person is female?

b. If the person selected is female, what’s the probability that she did not perceive her body image as overweight?

Transcribed Image Text:

Gender Female Male About right 560 295 Body image Overweight 163 72 Underweight 37 73