SOLUTION: The FBI claims that about 80% of all property crimes, the criminals are never found and the case is never solved. In a randomly selected city, what is the probability that at leas

Algebra ->  Probability-and-statistics -> SOLUTION: The FBI claims that about 80% of all property crimes, the criminals are never found and the case is never solved. In a randomly selected city, what is the probability that at leas      Log On


   

Question 652623: The FBI claims that about 80% of all property crimes, the criminals are never found and the case is never solved. In a randomly selected city, what is the probability that at least 1 crime will be solved when 6 crimes are reported?
I need help setting up the formulas
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The FBI claims that about 80% of all property crimes, the criminals are never found and the case is never solved.
In a randomly selected city, what is the probability that at least 1 crime will be solved when 6 crimes are reported?
I need help setting up the formulas
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Binomial Problem with n = 6 and p(never solved) = 0.8; p(solved) = 0.2
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P(none solved)+P(at least one solved) = 1
P(at least one solved) = 1 - P(none solved)
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= 1 - 6C0(0.2)^0*0.8^6 = 1 - 1*1*0.8^6 = 1 - 0.8^6 = 0.7389
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Cheers,
Stan H.