Final answer:
The mother likely has the X-linked dominant trait.
Step-by-step explanation:
The likely conclusion about the parents in this scenario is that the mother has the X-linked dominant trait.
In X-linked dominant inheritance, a heterozygous or homozygous affected female will pass on the trait to all of her children, both male and female.
In this case, since none of the three sons have the trait but all four daughters do, it indicates that the trait is present in the mother.