102年 - 102 淡江大學 轉學考 機率與微積分#53704

科目：研究所、轉學考(插大)-微積分 | 年份：102年 | 選擇題數：0 | 申論題數：9

試卷資訊

所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (9)

【已刪除】1. Calculatedxdy. (10%)
(1) Derive the joint p.d.f. of U and V • (20%)
(2) Are the random variables U and V independent? Why? (8%)
【已刪除】3. If for three events A, B, C it happens that either , what conclusions can you draw? (8%)
4. Let Z ~N(0,1), derive the moment generating function Mz (t). (12%) . 
【已刪除】 (1 ) Determine the conditional probability density function  (12%)
(2 ) Calculate E(Y|X = x). (10%)
【已刪除】6. Evaluate the integral. (10%)
【已刪除】7. Find the value of  at the point (1,-1, -3) if the equation xz + ylnx-x2 + 4 = 0 defines x as a function of two independent variables y and z and the partial derivative exists. (10%)