Answer to Question #6189 in Statistics and Probability for Debbie
This is a binomial expansion.
t=tree pollen allergy, n=no tree pollen allergy
Let t=0.2 and n=0.8
The probability that m have tree pollen:
the coefficient: C(11,m)=11!/(m!(11-m)!)
P = 11!/(m!(11-m)!)*n^(11-m)*t^m = 11!/(m!(11-m)!)*0.8^(11-m)*0.2^m.
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