[機統] Joint distributions
題目出自 Saeed Ghahramani的機率課本 (閃電本) ch8.1 Exercise 19
Suppose that h is the probability density function of a continuous random
variable. Let the joint probability density function of two random variables
X and Y be given by
f(x,y) = h(x)h(y)
[x€R,y€R ,不知道"屬於"符號要怎麼打才能跟課本打一樣 (攤手) ]
Question:Prove that P(X≧Y) = 1/2
該如何寫出證明會比較好呢?
x
解答的答案是寫 H(x) = ∫ h(y)dy
-∞
再把h(y)換掉 .. 不過這邊的H(x)意義和後面的解法我看不太懂
希望版友們能幫忙解惑一下
謝謝!
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