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In this chapter, we focused on the Mendelian postulates, probability, and pedigree analysis. We also considered some of the methods and reasoning by which these ideas, concepts, and techniques were developed. On the basis of these discussions, what answers would you propose to the following questions: (a) How was Mendel able to derive postulates concerning the behavior of "unit factors" during gamete formation, when he could not directly observe them? (b) How do we know whether an organism expressing a dominant trait is homozygous or heterozygous? (c) In analyzing genetic data, how do we know whether deviation from the expected ratio is due to chance rather than to another, independent factor? (d) since experimental crosses are not performed in humans, how do we know how traits are inherited?

Short Answer

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Answer: To determine whether an organism expressing a dominant trait is homozygous or heterozygous for that trait, we perform a test cross. This involves crossing the organism with an individual that is homozygous recessive for the trait. If the offspring all express the dominant trait, then the original organism is most likely homozygous dominant. However, if there are offspring that express both the dominant and the recessive traits, then the original organism must be heterozygous.

Step by step solution

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Mendel derived his postulates concerning the behavior of "unit factors" (now known as genes) during gamete formation through a series of well-designed experiments on pea plants. He observed traits in the pea plants, such as seed shape and flower color, and cross-bred the plants to track how these traits were inherited across generations. By analyzing the results of these crosses, he formulated laws of inheritance that described the behavior of these unit factors even though he could not directly observe them. #b) Determining Homozygous or Heterozygous#

In order to determine whether an organism expressing a dominant trait is homozygous (AA) or heterozygous (Aa) for that trait, we perform a test cross. This involves crossing the organism with an individual that is homozygous recessive (aa) for the trait. If the offspring all express the dominant trait, then the original organism is most likely homozygous dominant. However, if there are offspring that express both the dominant and the recessive traits, then the original organism must be heterozygous. #c) Deviation from Expected Ratio#
02

In analyzing genetic data, we can use the chi-squared test to determine whether the deviation from the expected ratio is due to chance or another independent factor. The chi-squared test compares the observed frequency of each phenotype in the offspring to the expected frequency based on Mendelian ratios. If the calculated chi-squared value is small, it means that the deviation from the expected ratio is likely due to chance or random sampling error. If the chi-squared value is large, it suggests that there may be another independent factor affecting the inheritance of the traits. #d) Inheritance in Humans#

Since experimental crosses cannot be performed in humans for ethical reasons, we study inheritance patterns through pedigree analysis. A pedigree is a family tree that indicates the presence or absence of a trait in each family member across generations. By examining the pattern of inheritance of a trait in a pedigree, we can make inferences about the possible genotypes of individuals and how traits are inherited. Additionally, geneticists can use the principles of Mendelian inheritance, probability, and statistical analysis to predict the likelihood of certain traits being passed on to offspring.

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Most popular questions from this chapter

Dentinogenesis imperfecta is a tooth disorder involving the production of dentin sialophosphoprotein, a bone-like component of the protective middle layer of teeth. The trait is inherited as an autosomal dominant allele located on chromosome 4 in humans and occurs in about 1 in 6000 to 8000 people. Assume that a man with dentinogenesis imperfecta, whose father had the disease but whose mother had normal teeth, married a woman with normal teeth. They have six children. What is the probability that their first child will be a male with dentinogenesis imperfecta? What is the probability that three of their six chil- dren will have the disease?

In a study of black guinea pigs and white guinea pigs, 100 black animals were crossed with 100 white animals, and each cross was carried to an \(\mathrm{F}_{2}\) generation. In 94 of the crosses, all the \(\mathrm{F}_{1}\) offspring were black and an \(\mathrm{F}_{2}\) ratio of 3 black: 1 white was obtained. In the other 6 cases, half of the \(\mathrm{F}_{1}\) animals were black and the other half were white. Why? Predict the results of crossing the black and white \(\mathrm{F}_{1}\) guinea pigs from the 6 exceptional cases.

Mendel crossed peas having round seeds and yellow cotyledons (seed leaves) with peas having wrinkled seeds and green cotyledons. All the \(F_{1}\) plants had round seeds with yellow cotyledons. Diagram this cross through the \(\mathrm{F}_{2}\) generation, using both the Punnett square and forked-line, or branch diagram, methods.

Which of Mendel's postulates can only be demonstrated in crosses involving at least two pairs of traits? State the postulate.

An alternative to using the expanded binomial equation and Pascal's triangle in determining probabilities of phenotypes in a subsequent generation when the parents' genotypes are known is to use the following equation: \(\frac{n !}{s ! t !} a^{s} b^{t}\) where \(n\) is the total number of offspring, \(s\) is the number of offspring in one phenotypic category, \(t\) is the number of offspring in the other phenotypic category, \(a\) is the probability of occurrence of the first phenotype, and \(b\) is the probability of the second phenotype. Using this equation, determine the probability of a family of 5 offspring having exactly 2 children afflicted with sickle-cell anemia (an autosomal recessive disease \()\) when both parents are heterozygous for the sickle-cell allele.

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