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JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    In a binomial distribution the probability of getting a success is 1/4 and standard deviation is 3, then  its mean is [EAMCET 2002]

    A)                 6             

    B)                 8

    C)                 12          

    D)                 10

    Correct Answer: C

    Solution :

               Probability of success \[p=\frac{1}{4}\]            Probability of unsuccess \[q=\frac{3}{4}\]            Mean = np            Standard deviation = \[\sqrt{\text{Variance }}\] \[\Rightarrow \] Variance = 9            Þ \[npq=9\] Þ \[n.\,\frac{1}{4}.\,\frac{3}{4}=9\] Þ \[n=48\]                 Mean \[=np\] \[=\frac{1}{4}\times 48=12\].


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