The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 11 people are picked?
A)0.0327
B)0.0059
C)0.0322
D)0.0269

Question

Quizplus · Accepted Answer

The probability of getting 2 or fewer women out of 11 participants, assuming equal probability for men and women, follows a binomial distribution with n=11 and p=0.5. The probability is calculated as the sum of probabilities of getting 0, 1, or 2 women, which is approximately 0.0327.

The Participants in a Television Quiz Show Are Picked from a Large