JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is [AIEEE 2002]

    A)                 \[\frac{8}{3}\]       

    B)                 \[\frac{3}{8}\]

    C)                 \[\frac{4}{5}\]       

    D)                 \[\frac{5}{4}\]

    Correct Answer: D

    Solution :

               Probability of getting odd \[p=\frac{3}{6}=\frac{1}{2}.\,\]            Probability of getting others \[q=\frac{3}{6}=\frac{1}{2}\]                 Variance\[=npq\]\[=5.\,\frac{1}{2}.\,\frac{1}{2}=\frac{5}{4}.\]


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