SOLUTION: 49​% 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

Algebra ->  Probability-and-statistics -> SOLUTION: 49​% 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      Log On


   

Question 1057500: 49​% 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the binomial distribution,
P%28X%29=C%2810%2CX%29%2A%280.49%5EX%29%281-0.49%29%5E%2810-X%29
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a) P%28X=5%29=0.2456
b) At least 6 means 6 through 10.
P%28X%3E=6%29=P%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29
P%28X%3E=6%29=0.3526
c)Less than four mean 0 through 3.
P%28X%3C4%29=P%280%29%2BP%281%29%2BP%282%29%2BP%283%29
P%28X%3C4%29=0.1888