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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

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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

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