Problem
You measure the body weight of a cattle population. The variance of body weight is 100 lbs^2 and the variance caused by permanent environmental effect is 10 lbs^2 . The correlation coefficient between body weight and breeding value is 0.5. The repeatability of body weight is 0.7.
I. What is the narrow-sense heritability h2?
II. What is the variance of breeding values?
III. What is the variance of gene combination values?