Answer: 0% of the females will be barred. This means that none of the females will be barred.
Explanation: From the information given, barred feathers is sex linked and the allele for barred feathers is dominant. Males are usually carriers because they have have two of the same type of chromosome (ZZ), their two chromosomes have to be affected for them to become barred. Females are usually sufferers because they have only Z chromosome, which once affected will manifest as barred feathers.
Let ZB represent the allele for barred feathers, a male that is not barred has a genotype of ZZ and a female that is barred will have a genotype of ZBW. A cross between two of them will produce 2 males that are heterozygous for barred feathers (ZBZ) and 2 females that have normal feathers (ZW).
See attached punnet square for more information.