SOLUTION: 41​% 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

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Question 1120711: 41​% 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 stanbon(75887) About Me  (Show Source):
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41​% 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
P(x = 5) = 10C5*0.41^5*0.59*5 = binompdf(10,0.41,5) = 0.2087...
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(b) at least​ six
P(6<= x <=10) = 1-binomcdf(10,0.41,5) = 0.1834..
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(c) less than four.
P(0<= x <=3) = binomcdf(10,0.41,3) = 0.358....
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Cheers,
Stan H.
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