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Manipal MET2010MathematicsProbability

If x follows a binomial distribution with parameters n=100 and p= 1 3 , then p(X=r) is maximum when r equals

Options

  1. A16
  2. B32
  3. C33
  4. DNone of these

Correct answer

C. 33

Step-by-step solution

Since, (n+1) p= 101 3 is not an integer. Therefore, p(X=r) is maximum when r= [ 101 3 ]=33

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