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AP EAMCET201920 Apr 2019Evening ShiftMathematicsProbabilityActual

In a book of 250 pages, there are 200 typographical errors. Assuming that the number of errors per page follow the Poisson law, then the probability that a random sample of 5 pages will contain no typographical error is

Options

  1. Ae⁻⁴
  2. Be^ - 4 5
  3. Ce^ - 16 25
  4. De⁻¹

Correct answer

A. e⁻⁴

Step-by-step solution

According to the given information aligned & = 200 250 = 4 5 & P(X=x)= e^ - ( ^X ) x ! P(X=0)=e^ - 4 5 & Required probability =(P(X=0))^5= (e^ -4 / 5 )^5=e⁻⁴ aligned Hence, option (a) is correct.

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