JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If X follows a binomial distribution with parameters \[n=6\]and p. If  \[9P\,(X=4)=P\,(X=2),\] then \[p=\]

    A)                 \[\frac{1}{3}\]       

    B)                 \[\frac{1}{2}\]

    C)                 \[\frac{1}{4}\]       

    D)                 1

    Correct Answer: C

    Solution :

               \[9.{}^{6}{{C}_{4}}{{p}^{4}}{{q}^{2}}={}^{6}{{C}_{2}}{{p}^{2}}{{q}^{4}}\]                 Putting \[q=1-p,\] we get required result.


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