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AP EAMCET2003MathematicsProbability

For a poisson variate X , if P(X=2)=3 P(X=3) , then the mean of X is :

Options

  1. A1
  2. B1 2
  3. C1 2
  4. D1 4

Correct answer

A. 1

Step-by-step solution

We know that, P(X=k)= ^k e^ k ! Since, P(X=2)=3 P(X=3) ^2 e^ 2 ! =3 ^3 e^ 3 ! =1 Mean of poisson distribution = =1

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