# SOLUTION: If 4 factories in a group of 20 factories in a community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability that none of th

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: If 4 factories in a group of 20 factories in a community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability that none of th      Log On

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 Question 342847: If 4 factories in a group of 20 factories in a community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability that none of the violators will be selected? I did: 6/20= 0.3% no violators will be selected Is this correct? Do I leave it as a percentage?Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!If 4 factories in a group of 20 factories in a community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability that none of the violators will be selected? ----------- 16 of the 20 factories are not violators. P(not violator) = 16/20 = 4/5 = 0.8 P(violator) = 0.2 ----------------------- Binomial Problem with n= 6 and p = 0.8 P(x=6 non-violators) = 6C6(0.8)^6(0.2)^0 = 0.8^6 = 0.2621 ================= Cheers, Stan H.