Directions Use the Appendix to calculate the match probabili

Directions: Use the Appendix to calculate the match probabilities (Pm) for the following STR genotypes and other information. The frequencies in the appendix are expressed in percentages do not let this confuse you Use a minimum allele frequency of0.013 (1.3%) for your calculations, as suggested by the National Research Council for eitherthe AmpFiSTR Profiler Plus African-American or US Caucasian bases. Show your work to get partial credit. Circle your final answer. i. When you calculate a Pm using Hardy-Weinberg equilibrium (HwE) and the multiplication rule, what must be true about these nine loci? 2. The body of an African American male was found, and the STR profile matches an entry in the Missing Persons Database. In some cases, peak height indicated that two copies of an allele were present. Use a minimum allele frequency of 0.013 (1.3% for your calculations, as suggested by the National Research Council for either the Amph iSTR Profiler Phus Afican-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

The data of only two loci are given in the appendix and all others are not given. SO, only calculations for those two loci are performed.

1)

D3S1358 –different alleles– 2pq

vWA – different alleles – 2pq

FGA – same alleles – p²

D18S51 - different alleles – 2pq

D21S11 - different alleles – 2pq

D8S1179 - different alleles – 2pq

D5S818 – same alleles – p²

D13S317 - different alleles – 2pq

D7S820 - different alleles – 2pq

2a)

African-American population

D3S1358 –different alleles– 2pq – 2*0.3231*0.2180 = 14% =14/100 * 195 = 27.3

27 people have 16,17 genotype at D3S1358 locus

vWA – different alleles – 2pq – 2* 0.2692*0.1692 = 9% = 9/100*195 = 17.55

18 people have 16,17 genotype at vWA locus

US Caucasian population

D3S1358 –different alleles– 2pq – 2*0.2225*0.2225= 11% =11/100 * 200 = 22

22 people have 16,17 genotype at D3S1358 locus

vWA – different alleles – 2pq – 2* 0.1975*0.25 = 9.8% = 9.8/100*200 = 19.6

20 people have 16,17 genotype at vWA locus

The frequencies of all other genotypes are not mentioned in the appendix.

2b)

The overall profile frequency of these two loci is taken as

0.14+0.09 = 0.23 in African American population

And 0.11+0.98 = 1.09 in US Caucasian population

There is a chance that 1 in 4.34 of African American population that the blood of the people other than the suspect matches with that of the dead African American male.

There is a chance that 1 in 0.9 of US Caucasian population that the blood of the people other than the suspect matches with that of the dead African American male.