SOLUTION: ​58% 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

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Question 1133549: ​58% 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!
exactly 5 is 10C5(0.58^5)*0.42^5=0.2162
4 would be 10C4(0.58^4)(0.42^6)=0.1304
3 would be 0.0540 done the same way
2 would be 0.0147
1 would be 0.0021
0 would be 0.0002
At least six is 1-5 and fewer or 1-0.4176 or 0.5824
Fewer than four includes 0-3 and probability is 0.0710

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