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> 102年 - 102 淡江大學 轉學考 機率與微積分#53704
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. Calculate
dxdy. (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 M
z
(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-x
2
+ 4 = 0 defines x as a function of two independent variables y and z and the partial derivative exists. (10%)
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dxdy. (10%) 
, what conclusions can you draw? (8%) 
(12%) 
. (10%)
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%)