JEE Main & Advanced JEE Main Paper (Held On 11 April 2015)

  • question_answer
    If the mean and the variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than or equal to one is : [JEE Main Online Paper (Held On 11 April 2015)]  

    A) \[\frac{1}{16}\]

    B) \[\frac{9}{16}\]

    C) \[\frac{3}{4}\]

    D) \[\frac{15}{16}\]

    Correct Answer: D

    Solution :

      \[np=2\] \[npq=1\] \[\Rightarrow \]\[q=\frac{1}{2},p=\frac{1}{2},n=4\] \[p(x\ge 1)=1-p(x<1)\] \[=1-p(x=0)\] \[=1{{-}^{4}}{{C}_{0}}{{\left( \frac{1}{2} \right)}^{0}}{{\left( \frac{1}{2} \right)}^{4}}\] \[=1-\frac{1}{16}\] \[=\frac{15}{16}\]


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