# The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men

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 participants there have been only 2 women. Using the binomial printout below, what is the probability of not getting 2 or fewer women when 10 people are picked?

**Solution: **We need to compute

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This means that the probability of not getting 2 or fewer women when 10 people are picked is 0.94533125

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## Stats Solution Summary

One of the main properties of the normal distribution is that we can reduce the calculation of ANY normal probability to the calculation of the standard normal distribution.

That is why we compute probabilities for ANY normal probability distribution using z-scores, which can be looked up in standard normal probability tables.