Hardy-Weinberg Problems

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X

q2 =2450 =.49 5000

2450=bald=q2 2550=hairy=p2+2pq5000=total

q=.7p=1-.7=.3

p2 + 2pq + q2 = 132 + 2(.3x.7)+.72=1.09 + .42 + .49 = 1 9 + 42 + 49 = 10018 H’s 42 h’s42 H’s 60 H’s60 H’s 102 total genes

42 = .41=q 60 =.59=p 102 102

p2 + 2pq + q2 = 1.592+2(.59x.41)+.412=1.35 + .48 + .17 = 1

Hardy-Weinberg Problems #4 6400=smooth tongued=q2

3600=forked tongued=p2+2pq10,000

6400=q2=.6410,000

q2=.64q=.8

1-q=p1-.8=.2p2 + 2pq + q2 = 1

.22+2(.2 X .8) + .82=1

.04 + .32 + .64= 1 FF Ff ff 4 + 32 + 64 = 1

8 F’s 32 f’s32 F’s 40 F’s40 F’s 72 genes

40=.56=p 32=.44=q72 72

p2 + 2pq + q2 = 1.562+2(.56X.44)+.442=1 .31 + .49 + .19 = 1X

a. freq.of F=.2 freq. of f =.8b. .32 Ffc. freq.of F=.56 freq. of f =.44d. FF=.31 Ff =.49 ff =.19

Hardy-Weinberg Problems #5

3120=brown eyed=q2

1680=black eyed=p2+2pq4800

3120=.65=q2

4800q2=.65q=.81

p=1-.81p=.19

p2 + 2pq + q2 = 1

.192+2(.19 x .81)+.812=1 .04 + .31 + .65 =1 BB Bb bb

Hardy-Weinberg Problems #64860=white=q2

1140=green=p2+2pq6000

4860=q2=.816000 q2=.81

q=.9

p=1-.9p=.1

p2 + 2pq + q2 = 1

.12+2(.1 x .9)+ .92=1

.01 + .18 + .81 =1

GG Gg gg

1 18 81 =100

2G’s 18g’s18G’s 20G’s20G’s 38genes

20=.53=p 18=.47=q38 38

p2 + 2pq + q2 = 1.532 +2(.53 X .47)+.472=1

.28 + .50 + .22 = 1

GG Gg gg .78

green

x

Hardy-Weinberg Problems #7 1600 weak-legged=q2

8400 strong-legged=p2 +2pq10,000

1600=q2=.1610,000

q2=.16q=.4

p=1-.4p=.6

p2 + 2pq + q2 = 1

.62+2(.6 X .4)+.42=1

.36 + .48 + .16 = 1 AA Aa aa

a. .4b. .6c. .36d. .48

Hardy-Weinberg Problems #8180=nude=q2

320=hairy=p2+2pq500

180=q2=.36500 q2=.36

q=.6

p=1-.6p=.4

p2 + 2pq + q2 = 1

.42+2(.4 x .6)+ .62=1

.16 + .48 + .36 =1

HH Hh hh

16x.5 48x.5 36 =100

8 24 3616H’s 24h’s 40H’s24H’s 72h’s 96h’s40H’s 96h’s 136genes

40=.29=p 96=.71=q136 136

p2 + 2pq + q2 = 1.292 +2(.29 X .71)+.712=1

.08 + .41 + .50 = 1

HH Hh hh .49

hairy

a. .4 e. .49b. .48c. .16d. .71

Hardy-Weinberg Problems #9 2400=normal=q2

12600=clumsy=p2+2pq15000

2400=q2=.1615000 q2=.16

q=.4

p=1-.4p=.6

p2 + 2pq + q2 = 1

.62+2(.6 x .4)+ .42=1

.36 + .48 + .16 =1

RR Rr rr 36X.25 48X.25 16

9 12 16

18R’s 12r’s 30R’s12R’s 32r’s 44r’s30R’s 44r’s 74genes

30=.41=p 44=.59=q74 74

p2 + 2pq + q2 = 1.412 +2(.41 X .59)+.592=1

.17 + .48 + .35 = 1

GG Gg gg .65

clumsy

a. .6 e. .48 i. .35b. .4 f. .59c. .36 g. .41d. 16 h. .65

Hardy-Weinberg Problems #10 720=dark=q2

49280=light=p2+2pq50000

720=q2=0.014450000 q2=.0144

q=.12

p=1-.12p=.88

p2 + 2pq + q2 = 1

.882+2(.88 x .12)+ .122=1

.774 + .21 + .0144 =1

RR Rr rr 774X.10 210X.10 14

77.4 21 14

155L’s 21l’s 176L’s 21L’s 28l’s 49l’s176L’s 49l’s 225genes

176=.78=p 49=.22=q225 225 1st gen.

p2 + 2pq + q2 = 1.782 + 2(.78 x .22)+ .222=1 .61 + .34 + .04 =1 RR Rr rr 61X.10 34X.10 4 6 3.4 4

12L’s 3.4l’s 15.4L’s 3.4L’s 8 l’s 11.4 l’s15.4L’s 11.4l’s 26.8genes

15.4=.57=p 11.4=.43=q26.8 26.8 2nd generation

Hardy-Weinberg Problems #10 cont.

p2 + 2pq + q2 = 1

.572+2(.57 x .43)+ .432=1

.32 + .49 + .19 =1

RR Rr rr 32X.1 49X.1 19

3.2 4.9 19

6.4L’s 4.9 l’s 11.3 L’s 4.9L’s 38 l’s 42.9 l’s11.3L’s 42.9l’s 54.1genes

3rd generation11.3=.21=p 42.9=.79=q54.1 54.1

p2 + 2pq + q2 = 1.212 + 2(.21 x .79)+ .792=1 .04 + .33 + .62 =1 RR Rr rr 4X.1 33X.1 62 .4 3.3 62

.8 L’s 3.3 l’s 4.1 L’s 3.3 L’s 62.0 l’s 65.3 l’s 4.1 L’s 65.3 l’s 56 genes

4th generation4.1=.06=p 25.3 =.94=q69.9 69.4

Hardy-Weinberg Problems #11 240=camou=q2

5760=solid=p2+2pq 6000

240=q2=0.046000 q2=.04

q=.2

p=1-.2p=.8

p2 + 2pq + q2 = 1

.82 + 2(.8 x .2) + .22 =1

.64 + .32 + .04 = 1

RR Rr rr 64X.1 32X.1 4

6.4 3.2 4

12.8L’s 3.2 l’s 16 L’s 3.2L’s 8 l’s 11.2 l’s16 L’s 11.2 l’s 27.2 genes

16=.59=p 11.2=.41=q27.2 27.2

p2 + 2pq + q2 = 1(.59)2 + 2(.59 x .41)+ (.41)2=1 .34 + .48 + .17 =.99 RR Rr rr

a. .8 e. .59 b. .2 f. .41c. .32 g. .34d. .64 h. .48

Hardy-Weinberg Problems #12 1200=total sample=p2+2pq+q2 - 27=sickle-cell=q2

1173=p2+2pq

q2=.0225q=.15

p=1- .15p=.85

p2 + 2pq + q2 = 1

.852 + 2(.85 x.15) + .152 =1

.7225 + .255 + .0225 = 1

AA Aa aa 722.5X.2 255 22.5

144.5 255 289A’s 255a’s 255A’s 544A’s 544A’s 799 genes

544=.68=p 255=.32=q799 799

p2 + 2pq + q2 = 1(.68)2 + 2(.68 x .32)+(.32)2=1 .46 + .44 + .10 =.99 AA Aa aa

a. .15b. .85c. .7225d. .255

27=q2=0.02251200

Xe. 68f. .32g. .46h. .44