Answer:
576 wild type, 192 hairy body, 192 vestigial wings and 64 vestigial wings, hairy body
Explanation:
In Drosophila, vestigial wings (vg) is caused by a recessive mutation to the dominant wild type wings (vg+).
A different, independent gene has a recessive allele (h) that can cause hairy body and a dominant wild type body (h+).
A cross is made between a fly that is homozygous for normal wings with a hairy body (vg+vg+ hh) and a fly with vestigial wings that is homozygous for normal body hair (vgvg h+h+).
All the F1 flies will be heterozygous for both genes vg+vg hh+, with wild-type phenotype.
A cross F1 x F1 was made that produced 1024 offspring. This is a dihybrid cross, so following Mendel's law of independent assortment the expected phenotypic proportions in the offspring will be 9:3:3:1. Among 1024 offspring, the expected number of individuals with each phenotype will be:
vg+_h+_ : 9/16 × 1024 = 576 wild type
vg+_ hh : 3/16 × 1024 = 192 hairy body
vgvg h+ : 3/16 × 1024 = 192 vestigial wings
vgvg hh : 1/16 × 1024 = 64 vestigial wings, hairy body