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.

Let X be the random variable from binomial distribution with probability (p) = 10% = 0.10 and sample…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A sample of liquid has a 10% chance of containing a particular organic pollutant. Assuming that the samples are independent. Determine the probability that in the next 20 samples there are at most two samples contain the pollutant. Solve both in detailed and approximate solutions. Comment on the results.
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