Question:medium

If X and Y are independent Poisson variates, What is the distribution of \(\frac{X}{X+Y}\)?
1. Binomial distribution
2. Poisson distribution
3. Negative binomial distribution
4. Multinomial distribution

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A classic theorem in mathematical statistics states:
"The conditional distribution of independent Poisson variables given their sum is always a Binomial distribution."
Updated On: Aug 3, 2026
  • Binomial distribution
  • Poisson distribution
  • Negative binomial distribution
  • Multinomial distribution
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The Correct Option is A

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