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AP EAMCET202418 May 2024Morning ShiftMathematicsProbabilityActual

If a random variable X satisfies poisson distribution with a mean value of 5 , then probability that X 3 is

Options

  1. A37 2 e^5
  2. B6 e^5
  3. C6 e⁻⁵
  4. D37 2 e⁻⁵

Correct answer

D. 37 2 e⁻⁵

Step-by-step solution

Given x satisfies poisson with mean value is 5 So, P (x 3)= P (x=0)+ P (x=1)+ P (x=2)=e⁻⁵ 5^0 0! +e⁻⁵ 5^1 1! +e⁻⁵ 5^2 2! =e⁻⁵ (1+5+ 25 2 )= 37 2 e⁻⁵

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