Question: Let Xn be the WrightFisher model with no mutation defined in Example 1.9. (a) Show that Xn is a martingale and use Theorem 5.11 to

Let Xn be the Wright–Fisher model with no mutation defined in Example 1.9.

(a) Show that Xn is a martingale and use Theorem 5.11 to conclude that Px.VN

(b) Show that Yn D Xn.N Xn/=.1 1=N is a martingale.

(c) Use this to conclude that

(N-1) x(N-x)(11/N)" Px(0

(N-1) x(N-x)(11/N)" Px(0

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