Question 1050720: 46%
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 eight, (b) at least eight, and (c) less than eight. If convenient, use technology to find the probabilities.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! We use the binary probability formula
:
Probability of k events in n occurrences = nCk * p^k * q^(n-k), where p is probability of event occurring, q = 1-p, nCk is combination of n items taken k at a time
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for our example, p = 0.46, q = 0.54, n=10
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a) Probability( k = 8 ) = 0.026
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b) Probability( k > or = 8 ) = 0.032
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c) Probability( k < 8 ) = 0.968
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