Due to an increase in radiation levels, the mutation rate increases linearly from 1.0 10-6/yr at

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Due to an increase in radiation levels, the mutation rate increases linearly from 1.0 × 10-6/yr at t = 0 to 3.0 x 10-6/yr at t = 2 × 106. Find the expected number of mutations over the course of 2 million years. What is the average mutation rate over this time?
The previous problem shows that the number of mutations follows a Poisson distribution even when the mutation rate changes. In fact, if the rate changes continuously, following some function λ(t), the number of mutations between time 0 and time t follows a Poisson distribution with mean
1(s)ds.

Use this formula to analyze the following circumstances.

Distribution
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