Texts: 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. Let X = the number of samples that contain the pollutant in the next 18 samples analyzed. Find the probability that X ≥ 6 given that X ≥ 3.
Added by Taylor H.
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X represents the number of samples containing the pollutant out of 18 samples, with a 10% probability for each sample. Since the samples are independent and we're counting successes in a fixed number of trials, X follows a binomial distribution with n = 18 trials Show more…
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