Find the expected value of the following probability distribution. $$\begin{array} { c c c c c }
x & 3 & 9 & 12 & 16 \
P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1
\end{array}$$
A)7.3
B) 4
C) 2.5
D) 8.2
E) 10

Question

Find the expected value of the following probability distribution. $$\begin{array} { c c c c c } 
x & 3 & 9 & 12 & 16 \
P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1
\end{array}$$  
A)7.3
B) 4
C) 2.5
D) 8.2
E) 10

Quizplus · Accepted Answer

The expected value is calculated by multiplying each value of x by its probability and summing the results: (3 * 0.3) + (9 * 0.5) + (12 * 0.1) + (16 * 0.1) = 0.9 + 4.5 + 1.2 + 1.6 = 8.2.

Find the Expected Value of the Following Probability Distribution x391216P(X=x)0.30.50.10.1\begin{array} { c c c c c } x & 3 & 9 & 12 & 16 \\P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1\end{array}xP(X=x)​30.3​90.5​120.1​160.1​

Find the Expected Value of the Following Probability Distribution $\begin{array} { c c c c c } x & 3 & 9 & 12 & 16 \\P ( X = x ) & 0.3 & 0.5 & 0.1 & 0.1\end{array}$