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AP EAMCET20225 Jul 2022Evening ShiftMathematicsProbabilityActual

If ' 3 ' is the variance of Poisson distribution, then P (1 < x < 4)=

Options

  1. A123 8 e⁻³
  2. B3 e^ - 3
  3. C9 e ⁻³
  4. D( 3+ 3 2 ) e⁻³

Correct answer

C. 9 e ⁻³

Step-by-step solution

P (1 < x < 4)= P (x=2)+ P (x=3) aligned & P (x=n)= ^n e^ - n ! & P (x=2)+ P (x=3)= (3)^2 e⁻³ 2 ! + (3)^3 e⁻³ 3 ! aligned = 3^2 2 (e⁻³+e⁻³ )=9 e ⁻³

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