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150 250 350 450 550 650 750 ÒŽ (cm)

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A: 449.3cm

F: 343.2cm

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A: 449.3cm A: 6.32cm

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p = {(2 × 20) + (1×11)}/{2 × 40} = 0.65

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q = {(2 × 8) + (1×12)}/{2 × 40} = 0.35 =1− p

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q = q2 = paa = 8 /40 = 0.45 ƷƩƵĺĐƨǋǊeQǅƜǊƢƙ»~ÞƺǇǊĘÉƷûƹǊ!

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Hardy,Weinberg�Į!

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Aa!x!Aa! Q2! 1/4! 1/2! 1/4!

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P'= P 2 + 2PQ /2 +Q2 /4 = (P +Q /2)2 = p2

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Q'= 2PQ /2 + 2PR +Q2 /2 + 2QR /2= 2(P +Q /2)(R +Q /2) = 2pq

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χ 2 = (20 −16.9)2 /16.9+ (12 −18.2)2 /18.2+ (8 − 4.9)2 /4.9

= 4.64

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χ 2 = 4.64 > χ0.052 (1) = 3.84

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χ0.012 (1) = 6.63

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PAA = (1− F)p2 + Fp = p2 + FpqPAa = 2(1− F)pq = 2pq − 2FpqPaa = (1− F)q2 + Fq = q2 + Fpq

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F =he − hohe

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2

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2

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F =σ p2

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0 10 20 30 40 50

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0.0 0.2 0.4 0.6 0.8 1.0

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Allele Freq.

p

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5 10 15 20

0.0

0.4

0.8

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Generation

Alle

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eq.

5 10 15 20

0.2

0.4

0.6

N = 100

Generation

Alle

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eq.

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