Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 6A / b / Solution

Once a cell is mature, its eventual competing outcomes are division and death. Conditional on one of them occurring, division has probability $\mu /(\mu +k)$ and creates four immature offspring. Thus the expected lifetime offspring number isassuming maturation eventually occurs.

Solved by gpt-5.6-sol high.