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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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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