![]() ![]() The American Freshman: National Norms Fall 2011. Pryor, John H., Linda DeAngelo, Laura Palucki Blake, Sylvia Hurtado, Serge Tran. Available online at (accessed May 15, 2013). “Prevalence of HIV, total (% of populations ages 15-49),” The World Bank, 2013. Open to Change.” Executive Summary by PewResearch Social & Demographic Trends, 2013. “Millennials: A Portrait of Generation Next,” PewResearchCenter. (“At least” translates to a “greater than or equal to” symbol). The second question asks you to find P( x ≥ 3). The first question asks you to find the expected value or the mean. Let X = the number of accidents the safety engineer must examine until she finds a report showing an accident caused by employee failure to follow instructions. ![]() On average, how many reports would the safety engineer expect to look at until she finds a report showing an accident caused by employee failure to follow instructions? What is the probability that the safety engineer will have to examine at least three reports until she finds a report showing an accident caused by employee failure to follow instructions? She decides to look at the accident reports (selected randomly and replaced in the pile after reading) until she finds one that shows an accident caused by failure of employees to follow instructions. X = the number of independent trials until the first success.Ī safety engineer feels that 35% of all industrial accidents in her plant are caused by failure of employees to follow instructions. For example, the probability of rolling a three when you throw one fair die is \(\frac\right)\) = 0.0804 The probability, p, of a success and the probability, q, of a failure is the same for each trial.In theory, the number of trials could go on forever.You can think of the trials as failure, failure, failure, failure, failure, success, STOP. It might take six tries until you hit the bullseye. The first time you hit the bullseye is a “success” so you stop throwing the dart. For example, you throw a dart at a bullseye until you hit the bullseye. In other words, you keep repeating what you are doing until the first success. There are one or more Bernoulli trials with all failures except the last one, which is a success.There are three main characteristics of a geometric experiment. ![]()
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