Suppose immigrants arrive into and emigrate from population c for 10 yr. How accurate do you think the normal approximation is?
Suppose immigration and emigration change the sizes of four populations with the following probabilities. Find the p.d.f. of the normal approximation for the average number of immigrants, sketch a graph, and shade and estimate the area corresponding to an increase in the population.

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Population a Population b Number Probability Number Probability 0.4 0.2 0.3 0.1 Population c 0.4 0.2 0.3 0.1 0.1 0.3 0.2 0.4 Population d 0.4 0.2 0.3 0.1 10 100