The results of a study showed that heterosexual women, during ovulation, were si

Question

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 then women who were not ovulating. Near ovulation on average women correctly identified the marriage status of about 67% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetic 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 76 or more of the men? The probability is ____ (Round to five decimal places as needed.)

Explanation / Answer

here I am taking p=0.63 (please revert if it different cause pic is little blurry)

mean =np=100*0.63=63

std deviation =(np(1-p))1/2 =4.828

therefore probability =P(X>=76)=1-P(X<=75)=1-P(Z<(75.5-63)/4.828)=1-P(Z<2.5890)=1-0.99519=0.00481

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