Mathematics · Probability Distributions
Let X and Y be independent Poisson random variables with parameters 2 and 3, respectively. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1X | Y = 3 ∼ Binomial(3, 2)
- 2Var(X | X + Y = 2) = 625
- 3E(X | X + Y = 2) = 15
- 4Var(X | X + Y = 2) = 1225✓
Correct answer
Var(X | X + Y = 2) = 1225
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