A researcher studies the birth weights of women and their daughters. The weights were split into three categories: low (below 6 lb), average (between 6 and 8 lb), and high (above 8 lb). This transition diagram shows how birth weights changed from mother to daughter.

a. Write a transition matrix that represents the same information as the diagram. Put the rows and columns in the order low, average, high.
b. Assume the changes in birth weights can be applied to any generation. If, in the initial generation of women, 25% had birth weights in the low category, 60% in the average category, and 15% in the high category, what were the percentages after one generation? After two generations? After three generations? In the long run?

Transcribed Image Text:

High .05 25 Low 25 Avcragc 5 .45