stats help

Question

The participants in a television quiz show are picked from a large pool of applicants

with approximately equal numbers of men and women. If participants are picked

randomly, what is the probability of getting at most 2 women when 10 people are picked?

Answer 1

P(at most 2 women) = P(all ten men) + P(1 woman, 9 men) + P(2 women, 8 men) [mutually exclusive situations]

 

Binomial Distribution(Bernoulli Trials)

 

(½)¹⁰ + 10(½)¹⁰ + ₁₀C₂(½)¹⁰ =(1/1024)[1+10+45] = 7/128