Answer
The probability distribution is binomial.
Work Step by Step
A probability distribution is binomial if each event can have 2 outcomes only. Here, the response can have 2 outcomes, either clothing has been or has not been selected. Although the selections are not independent, they can be treated as independent by the 5% guideline, because 427 women are a lot less then 5% of all women in the world. Therefore the probability distribution is binomial.