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研究所、轉學考(插大)◆統計學
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110年 - 110 國立中山大學_碩士暨碩士專班招生考試_經濟所:統計學#104423
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2. (20%) If the random variable X has a Poisson distribution such that P(X 1) = P(X=2). Find P(X =4).
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四、試說明法律的實效與有效的區別。(10分)
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五、試從理論、實務及大法官解釋各面向,說明中央與地方訂定之法規範間的關係。(20 分)
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六、公布施行的法律與社會情勢變遷或人民認知與共識有違時,如何調適兩者?並試舉 實例說明,(30分)
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1. (20%) Suppose X and Y are jointly distributed according to the joint pdf
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3. (20%) Find the method-of-moments estimates for pu and σ2 based on a random sample of size n taken from an N(u,o?) distribution.
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4. (20%) A random sample of size 2 is drawn from a uniform pdf defined over the interval [0,θ]. We wish to test by rejecting H0 when y1 + y2≤k. Find the value for k that gives a level of significance of 0.05.
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5. (20%) Let x = (X1, X2, X3)' have a trivariate normal distribution with means 6, 4, and 2 and variance 16, 25, and 64, and with cou(X1, X2) = 6 and coc(X1,X3) = 4 and cou(X2,X3)=5. Let Y1=2X1+3X2+ X3 +2 and Y2 =4X1+ X3 +3. What is the joint distribution of y = (Y1, Y2)'?
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1. Evaluatefor any a ＞ 0. (5%)
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(1) Let u1 = ＜3, 1＞, u2= ＜1, 1＞. Transform them into an orthonormal basis. (5%)
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(2) Let u1 = ＜1, 1, 1＞, u2 = ＜1, 2, 2＞, u3 = ＜1, 1, 0＞ . Transform them into an orthonormal basis. (5%)
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