Analysis of a situation utilizing the binomial probability distribution.
Natural gas leak detection systems are designed to detect and warn of natural gas leaking from the

cylinder. A reliability question is whether a detection system will be able to identify leaks and issue a

warning. Assume that a particular detection system has a .90 probability of detecting a leak. A statistician

used the binomial probability distribution to answer the following questions, obtaining the answers shown.

Question 1: What is the probability that a single detection system will detect a leak? Answer: 90%
Question 2: If two detection systems are installed and operated independently, what is the probability that

at least one of the systems will detect a leak? Answer: 99%
Question 3: If three detection systems are installed and operated independently, what is the probability

that at least one of the systems will detect a leak?

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Write a paper that explores and applies the relevant tools and techniques to address a common

operating issue (of the three, select just one) presented below. It will be critical to identify the key contributing factors, which are often numerous and intertwined. In developing solutions, you must give due consideration to possible second- and third-order effects. Where possible, you are encouraged to examine a local healthcare organization; this may include interviewing organizational leaders and managers, examining issues and challenges, analyzing data, etc. The paper should be 10 pages in length, formatted according to the APA

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