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110年 - 110 國立清華大學碩士班考試入學試題_經濟學系:微積分與統計#105269
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題組內容
1. A random variable; X, has a probability density function that can be specified as:
(c) Find Pr(X >0.4)
其他申論題
(c) Are these three estimators consistent? Explain and show your work.
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(b) What is the expected GPA of male students living in rural areas?What is the expected GPA of female students living in rural areas? Express in terms of B's and show your work.
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(a)Another researcher asks why this equation does not include both a female indicator (female = 1 if female and - O if not), and a male indicator (male = 1 if male and = 0 if not). Explain why or why not.
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(b) Based on your answer in part (a), calculate the expected value ofX, denoted as E(X), and variance, denoted as Var(X).
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(b) Calculate the variance of .
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(b) Which one is relatively more effcient? Explain and show your work.
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(a)Derive the OLS estimator .
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(c) What is the difference between the expected GPA of female students living in urban areas and the expected GPA of male students living in urban areas? What is the difference between male students living in urban areas and male students living in rural areas? Express in terms of B's and show your work. that
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(一)本案有無海商法關於貨物運送規定之適用?
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(二)設若本案有海商法關於貨物運送規定之適用,其請求權是否已經罹於時效?
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