JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • 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) \[\frac{1}{15}\]

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

    D) 10

    Correct Answer: C

    Solution :

    [c] \[\sum\limits_{i=1}^{10}{p(X={{x}_{i}})}=1\] \[\Rightarrow k(1+2+..+10)=1\] \[\Rightarrow k\frac{10\times 11}{2}=1\Rightarrow k=\frac{1}{55}\]


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