The participants in a tv show are picked from a large pool ofapplicants with app

Question

The participants in a tv show are picked from a large pool ofapplicants with approx equal numbers of men and women. AMong thelast ten participants there have been only 2 women. What is the mean & standard deviation for the numberof women selected to be on the quiz show? The participants in a tv show are picked from a large pool ofapplicants with approx equal numbers of men and women. AMong thelast ten participants there have been only 2 women. What is the mean & standard deviation for the numberof women selected to be on the quiz show?

Explanation / Answer

sample size, n = 10 no. of women, = 2 hence probability that women is selected, p = 2/10 = 0.2 probability that women is not selected, q = 1-p = 1-0.2 = 0.8 mean no. of women selected , = np = 10 x 0.2 = 2 standard deviation, = (npq) = (10x0.2x0.8) =1.265

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