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Another non-regular martingale. Let Y, Y1, Y2, ... be independent random variables with common distribution given by
and set Xn = Y1· Y2 ··· Yn, n ≥ 1. Show that this produces a martingale of product type with mean one that converges almost surely to 0.
Hispanic workers A factory employs 3000 unionized workers, of whom 30% are Hispanic. The 15-member union executive committee contains 3 Hispanics.
Using z-scores, a population with m = 37 and s = 6 is standardized so that the new mean is m = 50 and s = 10. How does an individual's z-score in the new distribution compare with his/her z-score in the original population?
Provide an estimate, standard error, an 80 percent con?dence interval, and a 95 percent con?dence interval for θ.
Quality control the probability density function for the life span of an electronics part is f(t) = 0.08e-0.08t , where t is the number of months in service.
a game charges 1 to play and pays 4 if a card drawn from the deck is a face card jack queen or king if not the player
Confidence intervals are affected by variability. If there is high variability in collected data, this translates into big standard deviation (margin of error) and therefore wider confidence interval. Are wider confidence intervals desirable? Why
a how large a sample should be taken if the population mean is to be estimated with 95 confidence to within 66? the
consider the population 1 2 5 6 10 12.a find the sampling distribution of the medians for samples of size 3 without
Why should employers care about their employees' level of job satisfaction? Why are modern employees increasingly unsatisfied with their jobs? What can be done to improve their degree of satisfaction?
suppose the counts recorded by a geiger counter follow a poisson process with an average of two counts per minute.a
Calculate the test statistic for testing the null hypothesis. The slass mean will be not be signfically different from the population mean. What is your decision about the null hypothesis?"
Home, sweet home. According to the 2000 Census, 66% of U.S. households own the home they live in. A mayoral candidate conducts a survey of 820 randomly.
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