The Fairfield County Department of Public Health tests water for contamination due to the presence of E. coli (Escherichia colt) bacteria. To reduce laboratory costs, water samples from five public swimming areas are combined for one test, and further testing is done only if the combined sample tests positive. Based on past results, there is a 0.005 probability of finding E. coli bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of E. coli bacteria. Is that probability low enough so that further testing of the individual samples is rarely necessary?
Answer to relevant QuestionsFind the probability that of 25 randomly selected people, a. no 2 share the same birthday. b. at least 2 share the same birthday. A fan of Lady Antebellum music plans to make a custom CD with 12 of her 27 songs. How many different combinations of 12 songs are possible? Is it practical to make a different CD for each possible combination? The typical combination lock uses three numbers between 0 and 49, and they must be selected in the correct sequence. How many different “combinations” are possible? Which of the five rules of this section is used to find ...a. If a person is randomly selected, find the probability that his or her birthday is October 18, which is National Statistics Day in Japan. Ignore leap years. b. If a person is randomly selected, find the probability that ...Is the random variable given in Table 5-7 discrete or continuous? Explain.
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