Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 15 samples:     Exactly 2 contain the pollutant. At least three samples contain the pollutant. Determine the probability that the number of pollutants is between 1 and 3, inclusive. Calculate the mean and standard deviation of the probability distribution function.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 15 samples:

 

 

  • Exactly 2 contain the pollutant.
  • At least three samples contain the pollutant.
  • Determine the probability that the number of pollutants is between 1 and 3, inclusive.
  • Calculate the mean and standard deviation of the probability distribution function.

 

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