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• 15 給定一個常態分布（Normal Distribution）的隨機變數 X，它的期望值（mean）為 0，變異值（variance）為 5。已知 P (X ＞ C) = 0.05，也就是 X 大於
• 14 一個盒子中有 998 個黑球及 2 個白球，若自盒中隨機挑選 500 球，令 x 為其中白球之數量，試求條件機率 P ( x = 1 | x = 1 或 x = 2) =？(A) (B) (
• 13 兩連續隨機變數 X、Y 之結合機率密度函數（joint probability density function）為 ，求 P( X ＜ Y ) =？  (A) (B) (C) (D)
• 12令矩陣 ，則下列敘述何者錯誤？(A) (B)若 θ = π / 10 ，則矩陣 B 為單位矩陣（unit matrix）(C)無論 θ 為何值，矩陣B及 的特徵值（eigenvalue）之絕對值均
• 11 設 A 為 3× 3 的矩陣，若 A 的行列式值 ，則 det(-2A)之值為何？(A)-6 (B)6 (C) 24 (D)-24
• 10 轉換 T : R 2 → R 3 定義為 ，則：(A) (B) (C) (D)
• 9 若 A 及 B 皆為正交矩陣（orthogonal matrix），則下列敘述何者不恒真？(A)矩陣 AB 也必為正交矩陣(B)矩陣 A+B 也必為正交矩陣(C)矩陣A-1也必為正交矩陣(D) （
• 8 複變函數 為中心展開的羅倫級數（Laurent series）為何？其中 i = √− 1 。(A) (B) (C) (D)
• 7 u = i − 2 j + k , v = −i + 3j − 2k 為兩個三維向量，以下那一個是 u × v ？(A)向量 w = i − j + k (B)純量 3(C)純量 1 (D)向量
• 6 試求向量場 v = sinh( x − z )i + 2 yj + ( z − y 2 )k 的散度（divergence）：(A) cosh( x − z ) + 3 (B) cosh( x −

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• 19 若 ϕ ( x, y , z) = xy − yz + xyz ，則其在點 P = (0,−1, 1) 之最大改變率（rate of change）之值為何？(A)−2 (B)2 (C) √5
• 20 已知三向量 a = j − 2k 、 b = i − 2k 和 c = 3i + j + k ， (b + 2c) × a 等於：(A) − 4i + 14 j + 7k (B) 4i − 14
• 53歲男性，因水腫及嚴重蛋白尿住院，腎臟穿刺顯示病理變化為:膜性增生性腎炎（membranoproliferative GN），他也有冷凝球蛋白血症（cryoglobulinemia），下列那一種
• 顯影劑腎病變(contrast nephropathy)之引發主要與何種介質(mediator)有關？(A)腎上腺皮質醛酮(aldosterone)(B)內皮素(endothelin)(C)前列腺
• Eric, _______ you help me with theseboxes?(A) may(B) could(C) should(D) do
• Sir, this is a _______ zone. Will youplease move your car?(A) no-park(B) no-parking(C) not-parked
• Let's _______ down and relax for awhile.(A) sitting(B) sat(C) sit(D) to sit
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• Amy said there was a lot of food onthe table, but we didn't see _______.(A) one(B) them(C)
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