Consider a population of *N* breeding diploid organisms. Suppose
that a new genetic mutation
arises in a single gene copy within an individual, producing a new
allele
*A*. There is a small
probability that the frequency, *p*, of this mutant allele within
the breeding population will increase and become fixed (i.e. *p *= 1;
the population eventually becomes *monomorphic*). In 1969, Japanese
geneticists Motoo Kimura and Tomdko Ohta computed the probability of
fixation of such a new mutation (under certain assumptions) as,

where *s* is the selective advantage of allele *A* and *N* is
the number of breeding individuals [1].

Given this equation, find the value of *N* required
for allele *A*,
with selective advantage *s* = 0.050,
to have fixation probability of 0.11.

**Be sure to keep your answer
exact until the last step to
avoid the propagation of round-off errors. **