IGNOU MTE 11 2018 - Let X be a r.v. with p.m.f. given by the following table:

Question

Let X be a r.v. with p.m.f. given by the following table:

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Compute E(X²).

14 Feb 2018

Answer :

Word Count : 153

We are given a discrete random variable $X$ with the following probability mass function: $$ \begin{array}{c|ccccc} X & -2 & -1 & 0 & 1 & 2 \\ \hline P(X) & \frac{3}{20} & \frac{4}{20} & \frac{6}{20} & \frac{4}{20} & \frac{3}{20} \\ \end{array} $$ To compute $E(X^2)$, we use the formula: $$ E(X^2) = \sum X^2 \cdot P(X) $$ Step by

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