4. Two independent random variables X₁ and x₂ are both uniformly distributed between 9 and 11. Find the pdf of y₁=X1X2/(x₁+x₂). Hint: introduce the dummy variable y2=X2 and use the approach of two functions of two variables.

A First Course in Probability (10th Edition)
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4. Two independent random variables x₁ and x₂ are both uniformly
y₁=X₁X2/(x₁+x2). Hint:
distributed between 9 and 11. Find the pdf of
introduce the dummy variable y2=X2 and use the approach of two functions
of two variables.
Transcribed Image Text:4. Two independent random variables x₁ and x₂ are both uniformly y₁=X₁X2/(x₁+x2). Hint: distributed between 9 and 11. Find the pdf of introduce the dummy variable y2=X2 and use the approach of two functions of two variables.
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