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AP EAMCET2002MathematicsProbability

If the mean of a poisson distribution is 1 2 , then the ratio of P(X=3) to P(X=2) is

Options

  1. A1: 2
  2. B1: 4
  3. C1: 6
  4. D1: 8

Correct answer

C. 1: 6

Step-by-step solution

Given that = 1 2 Now, P(X=n)= ^n n ! e^ aligned & P(X=3)= ( 1 2 )^3 3 ! e^ 1 / 2 & and P(X=2)= ( 1 2 )^2 2 ! e^ 1 / 2 & P(X=3) P(X=2) = ( 1 2 )^3 e^ 1 / 2 3 ! ( 1 2 )^2 e^ 1 / 2 2 ! = ( 1 2 )^3 e^ 1 / 2 2 ! ( 1 2 )^2 e^ 1 / 2 3 ! = 1 2 3 = 1 6 & aligned

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