A company audit reveals that 3% of the department budgets contain errors. A program is developed to analyze budgets and, in a test, identifies errors in 99% of budgets with errors and 2% of those without. If a budget is identified by the program as possibly having an error, what is the probability that the budget does have an error? (Hint: Use

In recent years research suggests that cell phone usage during social interactions leads to distractions, which undermines the benefits of social interaction. A recent report by greater good magazine reports that a survey shows that 82% of people report that the use of cell phones during a conversation decreases the quality and what they talk about. Assuming the greater good magazine report is accurate, and then a random sample of cell phone users during A recent conversation were sampled. You are interested in the probability that a specific number of the cell phones users would report that the use of cell phones during a conversation decreases the quality of what they talk about.

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In a 2018 study, it was determined that 14% of Americans smoke. In a separate study, it was determined 9% of smokers die of lung cancer, and 1% of non-smokers die of lung cancer. Assuming these values hold true today, find the following: a. What is the probability that a randomly selected person is a smoker and died of lung cancer? b. What is the probability that a randomly selected person dies of lung cancer? c. What is the probability that a randomly selected person is a smoker or died of lung cancer?

In a recent survey, it was found that the meadian income of families in country A was $57,100. What is the probability that a randomly selected family has an income less than $57,100

Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the     production line. What is the probability that exactly one of these three blue ray players is defective?

According to the recent report, scientists in New England say they have identified a set of genetic variants that predicts extreme longevity with 77% accuracy. Assume 150 patients decide to get their genome sequenced. If the claim by scientists is accurate, what is the probability that fewer than 70% of the patientswill get a correct diagnosis for extreme longevity? Group of answer choices A. 0.1422 B. 0.0722 C. 0.2214 D. 0.0208

An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?