Explore BrainMass

Explore BrainMass

    Random Variable

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    If X is a Gamma random variable with parameters (n,1), approximately how large need n be so that .......

    Answer:
    (a) Using Chebyshev's inequality;
    (b) the Central Limit Theorem

    © BrainMass Inc. brainmass.com June 3, 2020, 5:30 pm ad1c9bdddf
    https://brainmass.com/statistics/central-limit-theorem/random-variable-chebyshevs-inequality-central-limit-theorem-29369

    Attachments

    Solution Preview

    Please see the attached file.

    Solution. We use the following facts. If X is a Gamma random variable with parameter (n,1), then the expected value E(X) and variance Var(X) of X are
    ....(1)
    Note. You can get the above result in any book for the probability theory.
    So,
    (a) By Chebyshev's inequality, we ...

    Solution Summary

    If X is a Gamma random variable with parameters (n,1), approximately how large need n be so that ..........

    Answer:
    (a) Using Chebyshev's inequality;
    (b) the Central Limit Theorem

    $2.19

    ADVERTISEMENT