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• 1. (a) Factor A into LU. (b) Find a basis for the row space of A. (c) Find a basis for the column sp
• 4.  Let X and Y have the joint pdf f(x, y) = 6(1 − x − y), x + y ＜ 1, 0 ＜ x, 0 ＜ y, zeroelsewhere. C
• 5. 令 X~poisson(λ)，試推導計算 E(X) 與 Var(X).
• 6. 設 X 服從二項式分配 B(n,p)，試求其動差生成函數(m.g.f)。
• 2 The labor search model (25 points)Assume the workers in the model are all in the labor force. That
• 【題組】(3) (8 分) 若用二分逼近法，計算出數列 之首 4 項為 b1 = 3，b2 = 0，，以此類推，在0到3區間內尋找√3的有理數近似值。請問數列最少要算到第幾項，才能使？
• 【題組】(b) What is the individual's optimal consumption in each period?
• 【題組】(c) Now assume there is a Social Security program that takes $ 3,000 from the individual in the
• 【題組】(d) What happens to the slope of the budget constraint if the interest rate rises to 20 percent?
• 【題組】(2) 試舉出數列滿足，且。
• 4.(5%)ConsiderWhat is Tv ?
• 7. 若X1 , X2 , . . , 是 iid 且服從 N(θ1 , θ2 )，請利用最大概似法(MLE)求(θ1 , θ2 )之估計。
• 2. Consider a competitive firm who hires labor L with wages w and rents capital K with rental rates
• 【題組】2.inferiority feelings
• 【題組】3.logotherapy
• 【題組】4.solution-focused brief therapy
• 【題組】5.progressive muscle relaxation
• 【題組】6.free association
• 【題組】7.motivational interviewing
• 【題組】8.field theory
• 二、名詞解釋(用中文或英文回答皆可)【題組】1.unconscious
• 【題組】2.unconditional positive regard
• 【題組】3.empty chair
• 【題組】4.miracle question
• 【題組】5.negative reinforcement