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Suppose that you work for the child social services agency in your county. Your job is to investigate instances of possible child neglect or abuse. After collecting your evidence, which may come from a variety of sources (e.g., information provided by the childs pediatrician, interviews with parents and teachers, observation.
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Suppose that X1 Xn are independent random variables with density or mass function f(x, theta) and suppose that we estimate theta using the maximum likelihood estimator theta: we estimate its standard error using the observed Fisher information estimator se(theta)={ -nsigma i=1 l"(x, theta)^-1/2} where l'(x,theta),l"(x, theta) are the first two.
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Suppose the average number of formulas observed in Kannas during 2-years is 10. Let x represents the number of formulas observed in Kannas during a 1-year period, which has a Poisson distribution. Compute the probability that Kansas experience at most 6 tornadoes in a year. Compute the probability that Kansas.
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Suppose that "X" represents the name of a disease.An epidemiologist conducts a survey of disease "X" in a population.The prevalence of disease "X" among women is 40/1000 and 20/1000 among men.Assuming the data the have been age adjusted, is it correct to conclude women have twice the risk of disease.
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Suppose that you had information about attitudes towards health care reform among registered voters. Specifically, suppose that p(pro-reform) among all registered voters =.46, p(anti-reform) =.42, and p(undecided) =.12. Further, let's say that.52 of all registered voters are men and.48 are women. This information is summarized in the table below. a..
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Suppose that X_1, X_2, X_3 are independent U (0, 1)-distributed random variables and let (X_(1), X_(2), X_(3)) be the corresponding order statistic. Compute P(X_(1) + X_(2) > X_(3)). Remark. A concrete example runs as follows: Take 3 sticks of length 1, break each of them uniformly at random, and pick.
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Suppose that {Y_i}^infinity_i=1 are iid random variables such that P(Y_i = 1) = p and P(Y_i = -1) = 1 - p. Define the process (X_n)^infinity_n=0 by the following recursive relationship X_0 = 0 and for n greaterthanorequalto 1. Show that (X_n)^infinity_n=0 is a stationary discrete time Markov chain, find.
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