JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    The mean and variance of a binomial distribution are 6 and 4. The parameter n is                                       [MP PET 2000]

    A)                 18          

    B)                 12

    C)                 10          

    D)                 9

    Correct Answer: A

    Solution :

               Given \[np=6,\,npq=4\]            \ \[\frac{npq}{np}=\frac{4}{6}\,\,\Rightarrow \,q=\frac{2}{3}\] and \[p=\frac{1}{3}\]                 \[\because \]\[np=6\,\Rightarrow \,n\times \frac{1}{3}=6\] \[\Rightarrow \,n=18\].


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