Calculate the mean for the discrete probability distribution shown here. $$\begin{array} { c | c c c c }
X & 1 & 4 & 8 & 11 \
\hline P ( X ) & 0.28 & 0.24 & 0.17 & 0.31
\end{array}$$
A) 6.01
B) 6
C) 24
D) 1.5025

Question

Calculate the mean for the discrete probability distribution shown here. $$\begin{array} { c | c c c c } 
X & 1 & 4 & 8 & 11 \
\hline P ( X ) & 0.28 & 0.24 & 0.17 & 0.31
\end{array}$$
A) 6.01
B) 6
C) 24
D) 1.5025

Quizplus · Accepted Answer

The mean of a discrete probability distribution is calculated by summing the products of each value of the random variable and its corresponding probability: $ \mu = \sum (X \cdot P(X)) = 1(0.28) + 4(0.24) + 8(0.17) + 11(0.31) = 6.01 $.

Calculate the Mean for the Discrete Probability Distribution Shown Here X14811P(X)0.280.240.170.31\begin{array} { c | c c c c } X & 1 & 4 & 8 & 11 \\\hline P ( X ) & 0.28 & 0.24 & 0.17 & 0.31\end{array}XP(X)​10.28​40.24​80.17​110.31​​

Calculate the Mean for the Discrete Probability Distribution Shown Here $\begin{array} { c | c c c c } X & 1 & 4 & 8 & 11 \\\hline P ( X ) & 0.28 & 0.24 & 0.17 & 0.31\end{array}$