The results of a study showed that heterosexual women, during ovulation, were significantly better at correctly identifying the
marriage status of a man from a photograph of his face than women who were not ovulating. Near ovulation, on average
women correctly identified the marriage status of about 68% 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 given photograph, what is the probability a woman would correctly
classify 80 or more of the men?