Each sample of water tested has a 10% chance of containing high levels of organic solids. Assume that the samples are independent with regards to the presence of solids. (1) Determine the probability that in the next 18 samples exactly 2 contain high levels of organic solids. (ii) Calculate the probability that in the 18 samples, at most 2 samples contain high levels of solids. (iii) What are the assumptions underlying the probability distribution in this question.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Each sample of water tested has a 10% chance of containing high levels of organic solids. Assume that the samples are independent with regards to the presence of solids. (1) Determine the probability that in the next 18 samples exactly 2 contain high levels of organic solids. (ii) Calculate the probability that in the 18 samples, at most 2 samples contain high levels of solids. (iii) What are the assumptions underlying the probability distribution in this question.
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