Here are the solutions to the genetics problems:
3.1.1
The plant is heterozygous for green leaves. Green (G) is dominant over variegated (g).
The genotype is Gg.
3.1.2
The plant (Gg) undergoes self-pollination (Gg x Gg).
The Punnett square for Gg x Gg is:
| | G | g |
|---|---|---|
| G | GG | Gg |
| g | Gg | gg |
The genotypic ratio is 1 GG : 2 Gg : 1 gg.
The phenotypic ratio is 3 Green (GG, Gg) : 1 Variegated (gg).
Total offspring = 64.
a) Number of plants that will have variegated leaves:
Step 1: Determine the proportion of variegated offspring (gg).
P(gg)=41
Step 2: Calculate the number of variegated plants.
Number of variegated plants=41×64=16
Expected number of plants with variegated leaves: 16
b) Number of plants that will be heterozygous for green leaves:
Step 1: Determine the proportion of heterozygous offspring (Gg).
P(Gg)=42=21
Step 2: Calculate the number of heterozygous plants.
Number of heterozygous plants=21×64=32
Expected number of plants heterozygous for green leaves: 32
c) Number of plants that will be homozygous:
Step 1: Determine the proportion of homozygous offspring (GG or gg).
P(homozygous)=P(GG)+P(gg)=41+41=42=21
Step 2: Calculate the number of homozygous plants.
Number of homozygous plants=21×64=32
Expected number of homozygous plants: 32
2.5
Symbols: T = normal allele, t = recessive Tay-Sachs allele.
A couple are both heterozygous for Tay-Sachs (Tt x Tt).
The Punnett square for Tt x Tt is:
| | T | t |
|---|---|---|
| T | TT | Tt |
| t | Tt | tt |
The genotypic ratio is 1 TT : 2 Tt : 1 tt.
Tay-Sachs disorder is recessive, so a child with the disorder has the genotype tt.
Step 1: Determine the proportion of offspring with Tay-Sachs (tt).
P(tt)=41
Step 2: Convert the proportion to a percentage.
Percentage chance=41×100%=25%
The percentage chance of having a child with Tay-Sachs disorder is 25%.
2.6
One in every 27 people in the population group has at least one allele for Tay-Sachs (Tt or tt).
Total sample size = 360,000 people.
Step 1: Identify the proportion of people with at least one allele for Tay-Sachs.
Proportion=271
Step 2: Calculate the expected number of people with the allele in the sample.
Number of people with allele=271×360000
Number of people with allele=13333.33
Since the number of people must be a whole number, we round to the nearest whole number.
Number of people with allele≈13333
You expect 13,333 people to have the allele for Tay-Sachs.