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AP EAMCET2004MathematicsProbability

If X is a poisson variate with P(X=0)=0.8 , then the variance of X is

Options

  1. A_e 20
  2. B₁₀ 20
  3. C_e 5 / 4
  4. D0

Correct answer

C. _e 5 / 4

Step-by-step solution

Poisson distribution aligned & P(X)= e^ -m m^x x ! & P(X=0)= e^ -m 1 1 & 0.8=e^ -m -m= _e 0.8 & m= _e 10 8 = _e 5 4 & aligned As, we know in a poisson distribution variance Variance = _e 5 4 =m

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