VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    The probability that a certain kind of component will survive a given shock test is\[\frac{3}{4}.\]The probability that exactly 2 of the next 4 components tested survive is

    A)  \[\frac{9}{41}\]

    B)  \[\frac{25}{128}\]

    C)  \[\frac{1}{5}\]

    D)  \[\frac{27}{128}\]

    Correct Answer: D

    Solution :

    Required probability\[={}^{4}{{C}_{2}}{{\left( \frac{3}{4} \right)}^{2}}{{\left( \frac{1}{4} \right)}^{2}}\] \[=\frac{4!}{2!2!}\times \frac{9}{16}\times \frac{1}{16}\] \[=\frac{24}{4}\times \frac{9}{16}\times \frac{1}{16}=\frac{27}{128}\]


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