Calculate the expected value of X for the given probability distribution: $$\begin{array} { c c c c c c c }
x & - 20 & - 10 & 0 & 10 & 20 & 30 \
P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5
\end{array}$$ Round your answer to two decimal places if necessary.
A) $E ( X ) = 14.79$
B) $E ( X ) = 14.87$
C) $E ( X ) = 14$
D) $E ( X ) = 15.1$
E) $E ( X ) = 15$

Question

Calculate the expected value of X for the given probability distribution: $$\begin{array} { c c c c c c c } 
x & - 20 & - 10 & 0 & 10 & 20 & 30 \
P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5
\end{array}$$   Round your answer to two decimal places if necessary.
A) $E ( X ) = 14.79$
B) $E ( X ) = 14.87$
C) $E ( X ) = 14$
D) $E ( X ) = 15.1$
E) $E ( X ) = 15$

Quizplus · Accepted Answer

The expected value $E(X)$ is calculated by summing the products of each value of $x$ and its corresponding probability $P(X=x)$: $$E(X) = (-20)(0.1) + (-10)(0.1) + (0)(0.1) + (10)(0.1) + (20)(0.1) + (30)(0.5) = -2 - 1 + 0 + 1 + 2 + 15 = 15.$$

Calculate the Expected Value of X for the Given Probability x−20−100102030P(X=x)0.10.10.10.10.10.5\begin{array} { c c c c c c c } x & - 20 & - 10 & 0 & 10 & 20 & 30 \\P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5\end{array}xP(X=x)​−200.1​−100.1​00.1​100.1​200.1​300.5​

Calculate the Expected Value of X for the Given Probability $\begin{array} { c c c c c c c } x & - 20 & - 10 & 0 & 10 & 20 & 30 \\P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5\end{array}$