Let $X$ denote a random variable for which $E\left[(X-a)^{2}\right]$ exists. Give an example of a distribution of a discrete type such that this expectation is zero. Such a distribution is called a degenerate distribution.
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Step 1
First, we know that $E\left[(X-a)^{2}\right]$ is the variance of $X$ when $a$ is the mean of $X$. Show more…
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