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Let X1,..., Xn be a random sample from a population with the mean μ. What condition must be imposed on the constants c1, c2,..., cn so that c1X1 + c2X2 + ··· + cnXn is an unbiased estimator of μ?
Statistics and Probability, Statistics
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Suppose that X1, · · · .Xn are normal with mean µ1; Y1, · · · , Yn are normal with mean µ2, and W1, · · · , Wn are normal with mean µ1 + µ2. Assuming that all 3n random variables are independent with a common variance, f ...
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The random variable X takes on the values 5, 20, 30, and 200 with probabilites 0.60, 0.30, 0.08, and 0.02 respectively. Use the statistical capacity of your calculator to find the expected value of Xrounded to one place ...
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Peter and Maryam take turns throwing one dart at the dartboard. Peter hits the bullseye with probability 1/5 and Maryam hits the bullseye with probability 1/3. Each throw is independent of the last. Whoever hits the bull ...
During a certain week the mean price of gasoline was $2.719 a gallon. A ronadom sample of 32 stations is drwn. What is the probability that the mean price was between $2.695 and $2.716. Assume o=$0.048.
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