SOLUTION: 44% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that th

Question 1038090: 44% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
10C5(0.44)^5*(0.56)^5=0.2289
fewer than 4
10C3(0.44^3)(0.56^7)=0.1765
10C2(0.44^2)(0.56^8)=0.0843
10C1(0.44^1)(0.56^9)=0.0238
for 0, it is 0.56^10=0.0030
That is 0.2876
===================
4 or more is therefore 0.7124
exactly 4 is 10C4(0.44^4)(0.56^6)=0.2427
exactly 5 is 0.2289 from above
So at least 6 is 0.7124-0.2427-0.2289=0.2408
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