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VIT Engineering VIT Engineering Solved Paper-2007

  • question_answer
    If X follows a binomial distribution with parameters n = 100 and \[p=\frac{1}{3},\] then \[P(X=r)\] is maximum when r is equal to :

    A)  16             

    B)  32

    C)  33             

    D)  none of these

    Correct Answer: C

    Solution :

    Since, \[(n+1)p=\frac{101}{3}\]is not an integer. Therefore, P(X = r) is maximum when \[r=\left[ \frac{101}{3} \right]=33.\]


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