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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    If the random variable X takes the values\[{{x}_{1}},{{x}_{2}},{{x}_{3}},....,{{x}_{10}}\]with probabilities\[p(X={{x}_{i}})=ki,\]then the value of k is equal to

    A)  \[\frac{1}{10}\]

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

    C)  \[\frac{1}{55}\]               

    D)         \[\frac{7}{12}\]

    E)  \[\frac{3}{4}\]

    Correct Answer: C

    Solution :

    As we know, the sum of probability density function is one. \[\therefore \]\[p(X={{x}_{1}})+p(X={{x}_{2}})+...+p(X={{x}_{10}})=1\] \[\Rightarrow \]               \[1k+2k+3k+....+10k=1\] \[\Rightarrow \]               \[\frac{10(10+1)}{2}k=1\] \[\Rightarrow \]               \[k=\frac{1}{55}\]


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