Calculate the expected value of X for the given probability distribution. $$\begin{array} { c c c c c }
x & 1 & 2 & 3 & 4 \
P ( X = x ) & 0.6 & 0.1 & 0.1 & 0.2
\end{array}$$
A) $E ( X ) = 1.6$
B) $E ( X ) = 2.1$
C) $E ( X ) = 2.4$
D) $E ( X ) = 1.9$
E) $E ( X ) = 2.3$

Question

Calculate the expected value of X for the given probability distribution. $$\begin{array} { c c c c c } 
x & 1 & 2 & 3 & 4 \
P ( X = x ) & 0.6 & 0.1 & 0.1 & 0.2
\end{array}$$  
A) $E ( X ) = 1.6$
B) $E ( X ) = 2.1$
C) $E ( X ) = 2.4$
D) $E ( X ) = 1.9$
E) $E ( X ) = 2.3$

Quizplus · Accepted Answer

The expected value $E(X)$ is calculated by summing the products of each value of $x$ and its corresponding probability: $E(X) = 1(0.6) + 2(0.1) + 3(0.1) + 4(0.2) = 0.6 + 0.2 + 0.3 + 0.8 = 1.9$.

Calculate the Expected Value of X for the Given Probability x1234P(X=x)0.60.10.10.2\begin{array} { c c c c c } x & 1 & 2 & 3 & 4 \\P ( X = x ) & 0.6 & 0.1 & 0.1 & 0.2\end{array}xP(X=x)​10.6​20.1​30.1​40.2​

Calculate the Expected Value of X for the Given Probability $\begin{array} { c c c c c } x & 1 & 2 & 3 & 4 \\P ( X = x ) & 0.6 & 0.1 & 0.1 & 0.2\end{array}$