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Manipal Engineering Manipal Engineering Solved Paper-2010

  • 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 equals

    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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