Composite sampling is a way to reduce laboratory testing costs

Composite sampling is a way to reduce laboratory testing costs.A public health department is testing for possible fecal contamination in public swimming pools.In this case, water samples from 5 public swimming pools are combined for one single test, and further testing is performed only if the combined sample shows fecal contamination.Based on past experience, there is a 3% chance of finding fecal contamination in a public swimming area.What is the probability that a combined sample from 5 public swimming pools has fecal contamination?

 

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