In D.melanogaster, a homozygous female with mutations for vestigialwings (vg), black body (b) and purple eye color(pr) was mated to a homozygous wild-type male. All theF1 progeny, both male and female, had normal (wild-type)phenotypes for the three characteristics, indicating that themutations are autosomal recessive. In a testcross of theF1 females with males that have vestigial wings, blackbody and purple eyes, the progeny were of eight differentphenotypes reflecting eight different genotypes. The order in whichthe genes are list below is completely arbitrary.
                                   vg     b     pr  1779
                                   vg+    b+   pr+ 1654
                                   vg+    b    pr  252
                                   vg     b+   pr+ 241
                                   vg+    b    pr+ 131
                                   vg     b+   pr     118
                                   vg     b     pr+      13
                                   vg+    b+   pr       9
                                                           4197 Total
a. Determine thelinear order of the genes on the chromosome (which gene is in themiddle)?
b. Calculate therecombinant frequency between the three loci.
c. Draw a geneticmap of the three loci, with the correct map distance betweeneach.