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What is equilibriumi tte J m u A curve the for these mutation rates If u 10 d an

ID: 3126890 • Letter: W

Question

What is equilibriumi tte J m u A curve the for these mutation rates If u 10 d and v is assumed to be zero, how many generations take for the frequency of A2 to increase from 0.01 to 0.05? What is probability of loss of a new mutation in the first generation if all families are of size 2 What is the probability of loss of a new mutation in the first generation if half of the families have no offspring and half have 4? e these values to those obtained when there is a Poisson distribution of offspring and interpret the differences.

Explanation / Answer

Part1)

Family of size 2 means that the number of progeny is 0.

The probability of loss of new mutation in the first generation if all families are of size of 2 can directly be read off the table, which is, 1.

Part2) Let S0 indicate the event that the family has no offspring and S4 indicate the event that family has 4 offspring.

P(S0) = P(S4) = 0.5 (given)

Probability of loss of mutation in the first generation = P(S0)x(1) + P(S4)x(1/16) = 0.53125 (Applying total probability)

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