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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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
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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