The population size can be thought of as twice a binomial random variable, because we are counting

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The population size can be thought of as twice a binomial random variable, because we are counting pairs. Use this idea, and the continuity correction, to estimate the probability that the results lie between 96 and 106 people (inclusive). How do the results compare?
Figure 6 in Section 6.1, as part of Example 5, illustrating stochastic immigration, was generated by adding two individuals with probability 0.5 and zero with probability 0.5 for 100 generations. The results in the figure show final populations of 106 and 96 people.
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