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.
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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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