2 body African American male was found and the STR matches a

2. body African American male was found, and the STR matches an entry in the Missing Persons Database. In some cases, height indicated that two of allele were present. *Use a minimum a frequency of (l.3%) your calculations, as suggested by the National Research Council for either the AmpFiSTR Profiler Plus African-American or US Caucasian databases. Evidence 16,17 16,17 23,23 17,24 28,36 14,15 13,13 10,11 10,12 Genotype a. Calculate the Pm using a combination of HWE, the allele frequencies from the appropriate population, and the multiplication rule. Show your work here or on the back of this page b. Invert your Pm and express it in a format similar to \"There is about a 1 out of a billion chance that someone could match this genotype at random.\"

Solution

HWE is Hardy Weinberg Equilibrium or Hardy Weinberg Principle which is used to determine the genetic drifts within a population from one generation to another.

Minimum Allele Frequency = 0.013 or 1.3%

The table provided above represents a hypothetical STR profile, where, D3S1358 and vWA demonstrates similar genothypes.

For homozygous genotype, like FGA and D5S818, the allele frequency is given by p², whereas for the heterozygous genotype, it becomes 2*p*q

Thus, for D3S1358, the allele frequency = 2 * 0.3231 * 0.2180 = 0.140

Locus Evidence Genotype Allele Frequency Genotypic Formula Genotypic Frequency

D3S1358 16,17 0.3231, 0.2180 2*p*q 0.140 or 14%

vWA 16,17 0.2692, 0.1692 2*p*q 0.019 or 1.9%

FGA 23,23 p²   

D18S51 17,24 2*p*q

D21S11 28,36   2*p*q

D8S1179 14,15   2*p*q

D5S818 13,13   p²

D13S317 10,11   2*p*q

D7S820 10,12   2*p*q

NOTE: All the Genotypic Frequencies can be determined in the same manner, since the complete appendix is not provided, the calculation cannot be performed further.

Thus, according to the principe of HWE, the sum of all these final genotypic frequencies should turn out to be equal to 1.

b) Now, if this Pm is reversed, this is referred to as Genetic Profile Frequency

Here, the calculations will be performed vertically, like

D13S317 10,11   2*p*q

D7S820 10,12   2*p*q

Here, 2*p*q = for cases, 12 and 11, and p² for 10, 10.

The answer would have been completely solved if all 4 pages of Appendix were available.