Department of Mathematics University of Toledo Master of Science Degree Comprehensive Examination
... items per day and counting Y, the number of defective items. If 0 denotes the probability of observing a defective item, then Y has a binomial distribution, when the number of items produced by the line is large. In other words, we can assume that Y N B(rz, 0) with n = 10. However, 0 varies from day ...
... items per day and counting Y, the number of defective items. If 0 denotes the probability of observing a defective item, then Y has a binomial distribution, when the number of items produced by the line is large. In other words, we can assume that Y N B(rz, 0) with n = 10. However, 0 varies from day ...
t distribution
... Given the percent of each state's residents who are at least 65 years of age, can or should we use t to approximate the mean of these percents? Hint: This is a population not a sample. ...
... Given the percent of each state's residents who are at least 65 years of age, can or should we use t to approximate the mean of these percents? Hint: This is a population not a sample. ...
German tank problem
In the statistical theory of estimation, the problem of estimating the maximum of a discrete uniform distribution from sampling without replacement is known in English as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.The analyses illustrate the difference between frequentist inference and Bayesian inference.Estimating the population maximum based on a single sample yields divergent results, while the estimation based on multiple samples is an instructive practical estimation question whose answer is simple but not obvious.