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_problems/unit-03/B-expectation-of-a-continuous-random-variable/1.md
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statement: | | ||
Suppose outcome space $\Omega = \{1,2,3,4,5,6\}$ represents a 6-sided die, and the probability function assigns probability $1/6$ to each outcome. Let random variable $X: \Omega \rightarrow \mathbb{R}$ be defined as, | ||
$$X(x) = \begin{cases} 1, &x \le 2\\\\ 2, &otherwise\end{cases}$$ | ||
Suppose outcome space $\Omega = \{1,2,3,4,5,6\}$ represents a 6-sided die, and the probability function assigns probability $1/6$ to each outcome. Let random variable $X: \Omega \rightarrow \mathbb{R}$ be defined as, $$X(x) = \begin{cases} 1, &x \le 2\\\\ 2, &otherwise\end{cases}$$ | ||
Compute the pmf of $X$ | ||
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