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A new kind of tulip is produced that develops only purple or pink flowers. Assum

ID: 11451 • Letter: A

Question

A new kind of tulip is produced that develops only purple or pink flowers. Assume that flower color is controlled by a single gene locus, and that the purple allele (C) is dominant to the pink allele (c). A random sample of 1000 tulips from a large cultivated field yields 786 purple flowers, and 214 pink flowers. Of the purple flowers 157 are determined to be heterozygous.

a) Determine the frequency of the purple and pink alleles in this field population.
b) Estimate the expected number of individuals in a population that is in Hardy-Weinberg equilibrium.
c) Is this population in H-W equilibrium? How do you know? Suggest some possible explanations for this result.
d) Because real-life populations are, of course, not infinitely large, why is the Hardy-Weinberg condition of an “infinitely large population” usually met for natural populations?

Explanation / Answer

the purple allele (C) is dominant to the pink allele (c).

CC------------ purple allele;              cc-------- pink allele

CC           Cc        cc

786 purple flowers, and 214 pink flowers.=1000

CC

Cc

cc

629/1000

157

214/1000

.629

.157

.214


a) Determine the frequency of the purple and pink alleles in this field population.

frequency of the purple allele=D+H/2 = .629+ .157/2=   0.629 +0.0785 =0.7075

frequency of the pink allele= R+H/2 = .214 + .157/2=   .214 +0.0785 =0.2925


b) Estimate the expected number of individuals in a population that is in Hardy-Weinberg equilibrium.

Expected fre

expected number of individuals

CC

P2

0.7075 X 0.7075

.50055

500

Cc

2PQ

2 X 0.7075 X0.2925

0.4138

413

cc

Q2

0.2925 X0.2925

0.8561

87


c) Is this population in H-W equilibrium? How do you know? Suggest some possible explanations for this result.

There is devoation in observed and expected frequencies , so the populaton is not in HARDY EINBERG EUILIBRIUM

CC

Cc

cc

629/1000

157

214/1000

.629

.157

.214

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