Exercise: Variance of the uniform Suppose that the random variable X takes values in the set...

Exercise: Variance of the uniform

Suppose that the random variable X takes values in the set {0,2,4,6,…,2n} (the even integers between 0 and 2n, inclusive), with each value having the same probability. What is the variance of X? Hint: Consider the random variable Y=X/2 and recall that the variance of a uniform random variable on the set {0,1,…,n} is equal to n(n+2)/12.

Var(X)=

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TOPIC:Discrete uniform distribution.

orchestra answered 1 year ago

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