sickle cell anemia is a recessive condition. Two diploid parents, heterozygous for sickle cell anemia produce...

sickle cell anemia is a recessive condition. Two diploid parents, heterozygous for sickle cell anemia produce 5 offspring. What is the probability that the parents have 3 or more children with sickle cell anemia? Using binomial distribution.

Solutions

Expert Solution

Sickle cell anemia is a recessive condition, hence requires two alleles.

Normal (S) > Sickle-cell (s)
Normal genotypes = SS, Ss, sS
Sickle-cell genotypes = ss

Genotypes of the parents: Ss

As per Mendelian Laws of Inheritance (Segregation, Independent Assortment, and Dominance):

Probability of having sickle-cell child = 1/4
Probability of having normal child = 3/4
Number of ways in which 3 kids can be selected from a group of 5 kids = ⁵C₃
Probability that the parents have 3 children with sickle cell anemia = ⁵C₃ (1/4)³ (3/4)² = 90/1024 = 8.789%
Number of ways in which 4 kids can be selected from a group of 5 kids = ⁵C₄
Probability that the parents have 4 children with sickle cell anemia = ⁵C₄ (1/4)⁴ (3/4)¹ = 15/1024 = 1.464%
Number of ways in which 5 kids can be selected from a group of 5 kids = ⁵C₅
Probability that the parents have 5 children with sickle cell anemia = ⁵C₅ (1/4)⁵ (3/4)⁰ = 1/1024 = .0976%

Probability that the parents have 3 or more children with sickle cell anemia = 106/1024 = 10.351%

gladiator answered 1 year ago

Next > < Previous

Related Solutions

1. Determining Inheritance using Punnett Squares The condition of sickle cell anemia is recessive and only...

1. Determining Inheritance using Punnett Squares The condition of sickle cell anemia is recessive and only the homozygous recessive individuals are adversely affected. Interestingly, heterozygous individuals have increased resistance to Malaria which is caused by a Plasmodium parasite that infects red blood cells. A heterozygous individual has red blood cells that are minimally affected but are altered enough so that Plasmodium cannot infect the cells. This is one reason why this allele persists in the population – in the heterozygous...

Sickle cell anemia is a recessive disorder caused by a mutation in the hemoglobin A gene....

Sickle cell anemia is a recessive disorder caused by a mutation in the hemoglobin A gene. Persons with the disease have a variety of serious health issues related to fragile and sickling red blood cells including premature death, and infants sometimes die from complications. In regions of central Africa where malaria is endemic, the relative fitnesses for individuals that are homozygous for the wild type hemoglobin allele (HbA), heterozygous (HbAHbS), and homozygous for the sickle cell allele (HbS) are 0.8,...

Sickle-cell anemia is an autosomal recessive disease, people with the disease have a ss genotype and...

Sickle-cell anemia is an autosomal recessive disease, people with the disease have a ss genotype and people without the disease have a SS genotype. People who have the disease get very ill, but people who have only one copy of the recessive gene are actually protected from getting malaria (Ss heterozygote genotype). Which area of the world is the frequency of sickle cell anemia the highest? Why do you think this is true (related to heterozygote advantage)? We talked about...

Sickle cell anemia is a recessive disorder in which hemoglobin loses the ability to effectively deliver...

Sickle cell anemia is a recessive disorder in which hemoglobin loses the ability to effectively deliver oxygen to the tissues. Gene therapy in which hemoglobin gamma-chain is introduced to sickle cell anemia patients seems to be a promising new therapy to correct the disease. Why do you think this is possible, based on your knowledge of the sickle cell mutation and the different hemoglobin polypeptide chains?

what is the difference between sickle cell anemia and sickle cell trait?

The son, Seif, is born with sickle cell anemia. This means both parents carry the allele...

The son, Seif, is born with sickle cell anemia. This means both parents carry the allele for sickle cell anemia. The father, Ahmad has a heterozygous genotype as told by the doctor. The mother can also be proved heterozygous for the trait since her mother was anemic. This means one of the affected alleles was inherited from the mother. So, the genotypes of Ahmad is Ss and that of Amina is Ss. Gametes formed by Ahmad are S and s....

Sickle cell anemia is inherited as an autosomal, recessive disorder. Individuals who inherit the mutated gene...

Sickle cell anemia is inherited as an autosomal, recessive disorder. Individuals who inherit the mutated gene from both parents will show symptoms of sickle cell, including a stiffening of the red blood cells when the individual is under conditions with low oxygen levels in the air (e.g. on top of a mountain). This can lead to low red blood cell count (anemia), shortness of breath, fatigue, jaundice, and joint pain. Most critically, the stiffened red blood cells can clog small...

sickle cell anemia is a hereditary medical condition affecting red blood cells that are thought to...

sickle cell anemia is a hereditary medical condition affecting red blood cells that are thought to protect against malaria, a debilitating parasitic infection of the liver and blood. that would explain why the sickle cell traits found in people who originally came from Africa, where malaria is widespread, a study in Africa tested 543 children for the sickle cell also for malaria infection in all 25% of the children had sickle cell and 6.6% of the children had both sickle...

Bob and Mary both suffer from Sickle Cell Disease, an autosomal recessive condition (they have the...

Bob and Mary both suffer from Sickle Cell Disease, an autosomal recessive condition (they have the condition - they are not just carriers). They met in a support group and against their doctor's advice, decide to have a child. What is the probability that their child will NOT have Sickle Cell Disease? 33% 0% 75% 50% 25% The _____ checkpoint can only be passed if the right growth factors have been received from other cells G1/S G2 G2/M S The...

What is the pathophysiology and etiology for sickle cell anemia?

Subjects