Questions: QUESTION 17 Consider two traits in cattle: coat color and horn presence. The dominant allele R results in red coat, and the recessive allele r results in white coat. The dominant allele P results in polled (hornless), and the recessive allele p results in horned. Bull X inherited one chromosome with the R and P allele on it and the other chromosome with an r and a p on it. Bull X is then bred to a rrpp cow. The numbers below are the resulting offspring 380 offspring with Red coat, Polled 365 offspring with White coat, Horned 28 offspring with Red coat, Horned 32 offspring with White coat, Polled Calculate the recombination frequency between these genes. Based on this recombination frequency, how often will Bull X pass on the R and P alleles together? Convert your answer to percent form, but do not put the percent sign in your answer. Round to two decimal places. For example 24.44

QUESTION 17 Consider two traits in cattle: coat color and horn presence. The dominant allele R results in red coat, and the recessive allele r results in white coat. The dominant allele P results in polled (hornless), and the recessive allele p results in horned. Bull X inherited one chromosome with the R and P allele on it and the other chromosome with an r and a p on it. Bull X is then bred to a rrpp cow. The numbers below are the resulting offspring 380 offspring with Red coat, Polled 365 offspring with White coat, Horned 28 offspring with Red coat, Horned 32 offspring with White coat, Polled Calculate the recombination frequency between these genes. Based on this recombination frequency, how often will Bull X pass on the R and P alleles together? Convert your answer to percent form, but do not put the percent sign in your answer. Round to two decimal places. For example 24.44
Transcript text: QUESTION 17 Consider two traits in cattle: coat color and horn presence. The dominant allele R results in red coat, and the recessive allele r results in white coat. The dominant allele $P$ results in polled (hornless), and the recessive allele $p$ results in horned. Bull $X$ inherited one chromosome with the R and P allele on it and the other chromosome with an r and a p on it. Bull X is then bred to a rrpp cow. The numbers below are the resulting offspring 380 offspring with Red coat, Polled 365 offspring with White coat, Horned 28 offspring with Red coat, Horned 32 offspring with White coat, Polled Calculate the recombination frequency between these genes. Based on this recombination frequency, how often will Bull $X$ pass on the $R$ and $P$ alleles together? Convert your answer to percent form, but do not put the percent sign in your answer. Round to two decimal places. For example 24.44 $\square$
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Solution

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To calculate the recombination frequency between the genes for coat color and horn presence in cattle, we need to determine the proportion of offspring that are the result of recombination events.

Bull X has the genotype RrPp, with the alleles R and P on one chromosome and r and p on the other. When Bull X is bred with a rrpp cow, the offspring can be categorized as follows:

  1. Non-recombinant offspring:

    • Red coat, Polled (RP): 380
    • White coat, Horned (rp): 365

  2. Recombinant offspring:

    • Red coat, Horned (Rp): 28
    • White coat, Polled (rP): 32

The total number of offspring is the sum of all categories: \[ 380 + 365 + 28 + 32 = 805 \]

The number of recombinant offspring is the sum of the recombinant categories: \[ 28 + 32 = 60 \]

The recombination frequency is calculated as the number of recombinant offspring divided by the total number of offspring: \[ \text{Recombination frequency} = \frac{60}{805} \]

Calculating this gives: \[ \text{Recombination frequency} = 0.0745 \]

To express this as a percentage, we multiply by 100: \[ 0.0745 \times 100 = 7.45 \]

Therefore, the recombination frequency is 7.45%.

Since the recombination frequency is 7.45%, the frequency of non-recombinant gametes (RP and rp) is 100% - 7.45% = 92.55%. Bull X will pass on the R and P alleles together 92.55% of the time.

The answer is 92.55.

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