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AP EAMCET202023 Sep 2020Morning ShiftMathematicsProbabilityActual

Suppose the number of accidents occurring on a highway in each day follows a Poisson random variable with parameter 3 . Then, what is the probability that no accidents occur today?

Options

  1. A1 e 3
  2. B- 1 e 3
  3. C1 e 9
  4. D- 1 e 9

Correct answer

A. 1 e 3

Step-by-step solution

Given: λ = 3 P ( X = x ) = λ x e - λ x ! Probability that no accidents occur today = P X = 0 = 3 0 e - 3 0 ! = 1 e 3 .

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