A farmer has 2000 cows. A total of the 1500 cows are brown c...

To calculate the genotype frequencies in the F1 generation, we can use the Hardy-Weinberg principle and the information provided.

Given:

1.There are 2000 cows in total.

2.1500 cows have a brown coat (dominant phenotype), and the rest (500 cows) have a white coat (recessive phenotype).

3.The brown coat (B) is dominant, and the white coat (b) is recessive.

Step 1: Frequency of the homozygous recessive genotype (bb)

Since white-coated cows must be homozygous recessive (bb), the frequency of the bb genotype is given by:

Step 2: Frequency of the recessive allele b (q)

To find the frequency of the recessive allele ( q ), we take the square root of :

Step 3: Frequency of the dominant allele B (p)

Using the Hardy-Weinberg equation p + q = 1, we can solve for (p), the frequency of the dominant allele:

p = 1 - q = 1 - 0.5 = 0.5

Step 4: Calculate the genotype frequencies

Using the Hardy-Weinberg equation, we can now calculate the frequencies of the three genotypes:

4.Homozygous dominant (BB):

5.Heterozygous (Bb):

6.Homozygous recessive (bb):

Now, let's plug in the values:

Biology