participant on tv show picke from lage # applicants with equal number of men and woman .amongst the last 9 participant 7 have been women . if they are picked randomly what is the probability of geting 7 more women when 9 people are picked
Binomial distribution:
- large population=>probability is (almost) constant
- p=0.5 (men) q=(1-0.5) (women)
- random independent multiple trials N=9
- 2 possible outcomes at each trial
P(7)=C(9,7)*p^7 * q^2
=(9!/(2!7!))*0.5^7*(1-0.5)^2
=0.07 (approximately)