Problem

Solutions For An Introduction to Genetic Analysis Chapter 4 Problem 60P

Step-by-Step Solution

Solution 1

Mr. S has a father from planet Vulcan and a mother from planet Earth. Vulcans have pointed ears P, absent adrenals A, and a right-sided heart R. All the Vulcan alleles are dominant to the Earth alleles. The three genes are autosomal and are linked as shown:

Picture 1

If Mr. S marries a woman from Earth, the proportion of children with different characters can be calculated.

Parents: PAR/PAR par/par

F1 progeny: PAR/par par/par [testcross]

a) Vulcan phenotypes for all the three characters:

The frequency of the parental class needs to be determined to find the proportion of progeny with all three Vulcan characters. Crossing over between P and A occurs 15% of time, which indicates that it does not occur 85% of the times. Crossing over occurs 20% of the time between A and R which indicates that it does not occur 80% of the times.

This shows that half the parentals are Vulcan. So, the proportion of progeny which are completely Vulcan is:

b) Earth phenotypes for all three characters:

This would be the same as the proportion of progeny with all Vulcan characters. Since the parentals have half Earth alleles and half Vulcan alleles, the proportion of progeny with only the 3 Earth alleles would be 0.34.

c) Vulcan ears and heart but Earth adrenals:

For a child to have Vulcan ears and heart but with Earth adrenals, a crossover must occur in both regions producing double crossovers. The frequency of Vulcan ears, heart, and Earth adrenals would be half the double crossovers:

d) Vulcan ears but Earth heart, and adrenals:

For a child to have Vulcan ears but the heart and adrenals of the Earth, a single crossover needs to occur between P and A. No crossover should occur between A and R. The frequency can be calculated in this way:

Out of this, half consist of the genotype of Par and the other half have the genotype of pAR. Therefore, the proportion of progeny with Vulcan ears but Earth heart and adrenals will be 0.06.

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