suppose x and y are continuous random variables wigh joint pdf fxy prove that x and y are indepe

Name: suppose x and y are continuous random variables wigh joint pdf fxy prove that x and y are independent if and only if fxyxyfxx for all values of x and for all y such that fyy0 28014
Uploaded: 2024-07-01T07:45:52-08:00
Duration: 2 min 37 s
Channel: Adi S
Description: suppose x and y are continuous random variables wigh joint pdf fxy prove that x and y are independent if and only if fxyxyfxx for all values of x and for all y such that fyy0 28014

Question

Manisha Sarker · Accepted Answer

First, we need to recall the definition of independence for continuous random variables. X and Y

Question

Suppose X and Y are continuous random variables with joint pdf f(x,y). Prove that X and Y are independent if and only if f(x|y) = f(x) for all values of x and for all y such that f(y) > 0.

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