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無年度 - 主題課程_理工學院機率論：多元隨機變數#107950
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題組內容
(17%) Random variables X and Y have joint probability density function
Let A =
.
(a) (4%) Find fx(x).
其他申論題
(10%) First a point Y is selected at random from the interval (0, 1). Then another point X is selected at random from the interval (Y, 1). Find the probability density function of X.
#462895
(a) (3%) Find the marginal probability distribution function of Y, i.e. fy (y).
#462896
(b) (3%) Find the mean of Y.
#462897
(c) (4%) Find the variance of Y.
#462898
(b) (4%) Find(x, y).
#462900
(c) (4%) Find.
#462901
(d) (5%) Find E[Y|A].
#462902
(a) (4%) Find the constant C.
#462903
(b) (4%) Find the conditional probability density function .
#462904
(c) (8%) Let U = X + 2Y and V = X -Y. What is the correlation coeficient of U and V?
#462905
.
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