JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        In a binomial distribution, mean is 3 and standard deviation is \[x=4y\], then the probability distribution is :

    A)  \[x=4y-2\]                         

    B)  \[\frac{8}{9}\]

    C)   \[\frac{9}{8}\]                 

    D)  \[\frac{4}{3}\]

    Correct Answer: A

    Solution :

                    Mean\[=up=3,S.D=\sqrt{npq}=\frac{3}{2}\] \[\Rightarrow \]               \[q=\frac{npq}{np}\]                 \[=\frac{9}{4\times 3}=\frac{3}{4}\] \[\Rightarrow \]               \[p=1-\frac{3}{4}=\frac{1}{4}\] and \[np=3\Rightarrow n=12\] hence binomial distribution is                 \[{{(q+p)}^{n}}={{\left( \frac{3}{4}+\frac{1}{4} \right)}^{12}}\]


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