2. In a herd of 1000 cows, each with one calf, weaning weight was recorded as a selection criterion.
The mean values for bull and heifer calves were 300 Kg and 250 Kg respectively, and the standard
deviation was $\sigma_p = 50Kg$ in each sex.
a) What would you expect to be the weight of the heaviest bull (Hint: first determine the
proportion selected for one bull, then use the corresponding selection intensity in determining
your answer)?
b) If $h^2 = 0.30$, what is the estimated breeding value of this best bull?
c) If he were mated to a randomly selected group of heifers, what would be the expected
progeny mean? Assume an equal expression of response in each sex, and an equal sex ratio
(50:50).
d) If he were mated to all the heifers of 250Kg and over, what would be the expected progeny
mean? (Hint: For a given proportion selected the appendix table does not only contain
selection intensity $i$ (average value of selected fraction), but also truncation point $x$ (lowest
value of selected fraction).