A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the mean of the distribution. $$\begin{array} { c | c c c c c }
\mathrm { x } & 2 & 3 & 5 & 8 & 10 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10
\end{array}$$
A) 5.0
B) 5.5
C) 5.7
D) 5.6

Question

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the mean of the distribution. $$\begin{array} { c | c c c c c } 
\mathrm { x } & 2 & 3 & 5 & 8 & 10 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10
\end{array}$$
A) 5.0
B) 5.5
C) 5.7
D) 5.6

Quizplus · Accepted Answer

The mean of a discrete probability distribution is calculated as the sum of each value multiplied by its probability: (2*0.10) + (3*0.20) + (5*0.30) + (8*0.30) + (10*0.10) = 5.7.

A Discrete Random Variable X Can Assume Five Possible Values