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TS EAMCET · Maths · Probability

If \(X\) is a Poisson variate such that \(P(X=1)=P(X=2)\), then \(P(X=4)\) is equal to

  1. A \(\frac{1}{2 e^2}\)
  2. B \(\frac{1}{3 e^2}\)
  3. C \(\frac{2}{3 e^2}\)
  4. D \(\frac{1}{e^2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{2}{3 e^2}\)

Step-by-step Solution

Detailed explanation

Given that, \(P(X=1)=P(X=2)\)…