Exercise · ZW-RANDOM-VARIABLE-009 · ★★★ Advanced
Let \(\Omega=\{-2,-1,0,1,2\}\) with equally likely outcomes and \(X(\omega)=\omega^2\). Compute \(P(X=1)\).
Choose one option.
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- D. 2/5
Explanation
\(X=1\) happens for \(\omega=-1\) and \(\omega=1\): two out of five outcomes. \(3/5\) would correspond to \(X\le1\).
Review the concept: Random variable
A random variable \(X\) is a function that assigns a real number to each outcome of the sample space \(\Omega\) of a random experiment.
\[X:\Omega\to\mathbb{R}\]
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