A study of immunizations among school-age children in California found that some areas had rates of unvaccinated school-age children as high as 13.5% in 2014. Imagine a classroom of 20 children in one such area where 13.5% of children are unvaccinated. If there are no siblings in the classroom, we are willing to consider the vaccination status of the 20 children unrelated children to be independent. A) Obtain the probability that none of the 20 children in such classroom would be unvaccinated B) Obtain the probability that at least one of the 20 children in such a classroom would be unvaccinated.
A study of immunizations among school-age children in California found that some areas had rates of unvaccinated school-age children as high as 13.5% in 2014. Imagine a classroom of 20 children in one such area where 13.5% of children are unvaccinated. If there are no siblings in the classroom, we are willing to consider the vaccination status of the 20 children unrelated children to be independent.
A) Obtain the
B) Obtain the probability that at least one of the 20 children in such a classroom would be unvaccinated.
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Lung cancer is the leading cause of cancer‑related deaths in the United States. Researchers examined the idea of testing all Medicare‑enrolled heavy smokers for lung cancer with a computed tomography (CT) scan every year. In this population, the lifetime chance of developing lung cancer is high. In any given year, approximately 3%3% of heavy smokers develop lung cancer. The CT scan positively identifies lung cancer 89%89% of the time, and it gives a negative result for 93%93% of individuals who do not have lung cancer.
(a) Use probability notation to express the three values cited. Match the notation with the appropriate values. Not necessarily all notation choices should be used.
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