The results of a study showed that heterosexualwomen, duringovulation, were significantly better at correctly identifying the marriage status of a man from a photograph of his face than women who were not ovulating. Nearovulation, on average women correctly identified the marriage status of about 70% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetric and that the samples are collected randomly. If this is the probability of correctly identifying the marriage status of a man in any givenphotograph, what is the probability a woman would correctly classify 75 or more of themen?

The probability is

(Round to five decimal places asneeded.)