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AP EAMCET2011MathematicsProbability

The probability that an individual suffers a bad reaction from an injection is 0.001 . The probability that out of 2000 individuals exactly three will suffer bad reaction is

Options

  1. A1 e^2
  2. B2 3 e^2
  3. C8 3 e^2
  4. D4 3 e^2

Correct answer

D. 4 3 e^2

Step-by-step solution

Given, p=0.001, n=2000 Mean =n p=2000 0.001=2 Using poisson distribution, aligned & P(X=x)= ^x e^ -x x ! & P(X=3)= 2^3 e⁻³ 3 ! = 4 3 e^2 aligned

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