If two random variables X and Y are independent with marginal pdfs fx(x)= 2x, 0\leq x \leq 1 and fy(y)=1,0\leq y \leq 1Calculate P(Y|X>2)
midtlinjeg
Answered question
2021-05-01
If two random variables X and Y are independent with marginal pdfs
Calculate
Answer & Explanation
Szeteib
Skilled2021-05-02Added 102 answers
Step 1
From the provided information, the marginal probability distribution of both the random variables X and Y are given.
Since both the variables are independent, the condition probability distribution of Y given X is equal to the marginal probability distribution of Y that is,
Step 2
The required probability can be calculated as:
Thus, the probability is 0 because the range of Y is from 0 to 1 only.
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