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92年 - 92 淡江大學 轉學考 機率與統計學#56061
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題組內容
3. (20%) Let Xi} X2 be a random sample of size 2 from a distribution with probability density function
a) Find the joint probability density function of Y
1
= X
1
+ X
2
and Y
2
= X
2
.
其他申論題
a) Find the couditioual probability density functions g(xy) and h(yx).
#212860
b) FmdP(l≤y≤3|X = l).
#212861
c) Find the conditional mean E(X|Y = 1).
#212862
d) Find the conditional variance Var(X|Y = 1).
#212863
b) Find the conditional probability density function of Y2, given Y1 = y1.
#212865
【已刪除】4. (15%) be a random sample from a distribution with the probability density function: Find the maximum likelihood estimator of θ.
#212866
a) α，the significance level of this test;
#212867
b) β, the probability of Type II error.
#212868
a) Find the power function of this test and the power at θ = 85.
#212869
【已刪除】b) What is the p-value corresponding to = 78.5.
#212870
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