Final answer:
The F2 progeny will have a 1:1 ratio of gray to yellow body color.
Step-by-step explanation:
The proportion of gray progeny in the F2 generation can be determined using the principles of Mendelian genetics. Since yellow body color is a recessive trait, it can only be expressed in individuals with two copies of the recessive allele (Xy). The F1 females are heterozygous for body color (Xy/X+), and when they are crossed with gray males (X+/X+), the resulting F2 generation will have a ratio of 1:1 for gray to yellow body color.