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 (1) (ii) (iii) 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.

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:
(i)
(ii)
(iii)
(iv)
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.
Transcribed Image Text: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: (i) (ii) (iii) (iv) 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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