### Genetics Problem Set#### Problem Description:An autosomal recessive disease affects 1/200 dogs and the population is in Hardy-Weinberg equilibrium.a) What proportion of the population are carriers for the disease?b) A carrier dog and an unknown dog are randomly selected from the population and they have one offspring. What is the possibility the offspring is a carrier for the disease?### Explanation:#### a) Proportion of Carriers in the PopulationGiven:- The disease is autosomal recessive.- It affects 1 out of 200 dogs in the population.To determine:- The proportion of carriers (heterozygotes) in the population.#### b) Probability the Offspring is a CarrierGiven:- One parent is a carrier (heterozygote) and the other parent is selected randomly from the population.- Determine the probability that the offspring will be a carrier for the disease.#### Detailed Explanation:**a) Calculation of Carrier Proportion:**1. Let q be the frequency of the recessive allele.2. The frequency of the recessive phenotype (affected dogs) = q² = 1/200.3. Solve for q: \[ q = \sqrt{\frac{1}{200}} \].4. Use Hardy-Weinberg principle: \[ \text{Proportion of carriers} = 2pq \]where p is the frequency of the dominant allele (p + q = 1).**b) Calculation of Probability of Carrier Offspring:**1. First, calculate q (as in part a).2. Determine the possible genotypes of the randomly selected parent (AA, Aa, aa) and their frequencies.3. Use Punnett squares to determine the probability of the offspring being a carrier (Aa).This exercise requires understanding of the Hardy-Weinberg equilibrium, solving quadratic equations, and basic probability concepts.

Name: ### Genetics Problem Set#### Problem Description:An autosomal recessi
Uploaded: 2024-03-20T06:42:55.000Z
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Description: ### Genetics Problem Set#### Problem Description:An autosomal recessive disease affects 1/200 dogs and the population is in Hardy-Weinberg equilibrium.a) What proportion of the population are carriers for the disease?b) A carrier dog and an unknown