Find the mean of the given probability distribution.
-The accompanying table shows the probability distribution for $x$, the number that shows up when a loaded die is rolled.
$\begin{array}{c|c}
x & P(x) \
\hline 1 & 0.12 \
2 & 0.15 \
3 & 0.13 \
4 & 0.11 \
5 & 0.12 \
6 & 0.37
\end{array}$

A) $\mu = 3.50$
B) $\mu = 4.07$
C) $\mu = 0.17$
D) $\mu = 3.94$

Question

Find the mean of the given probability distribution.
-The accompanying table shows the probability distribution for $x$, the number that shows up when a loaded die is rolled.
$\begin{array}{c|c}
x & P(x) \
\hline 1 & 0.12 \
2 & 0.15 \
3 & 0.13 \
4 & 0.11 \
5 & 0.12 \
6 & 0.37
\end{array}$

A) $\mu = 3.50$
B) $\mu = 4.07$
C) $\mu = 0.17$
D) $\mu = 3.94$

Quizplus · Accepted Answer

The mean of a probability distribution is calculated as $\mu = \sum [x \cdot P(x)]$. For this distribution, $\mu = (1 \cdot 0.12) + (2 \cdot 0.15) + (3 \cdot 0.13) + (4 \cdot 0.11) + (5 \cdot 0.12) + (6 \cdot 0.37) = 4.07$.

Find the Mean of the Given Probability Distribution xxx , the Number That Shows Up When a Loaded Die

Find the Mean of the Given Probability Distribution $x$ , the Number That Shows Up When a Loaded Die