Sarah Douds was rejected for employment from USA Credit Union. She then learned that USA Credit Union has hired only four women among the last 17 new employees. She then learned that there were a...

Sarah Douds was rejected for employment from USA Credit Union. She then learned that USA Credit Union has hired only four women among the last 17 new employees. She then learned that there were a large number of applicants with an approximately equal number of qualified men as qualified women.


Help her address the charge of gender discrimination by finding the probability of getting four or fewer women when 17 people are hired, assuming that there is no discrimination based on gender.

(Report answer accurate to 8 decimal places).


P(at most four) =


Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge?