High School

Calculate the expected value of \( X \), \( E(X) \), for the given probability distribution.

\[ E(X) = \_\_\_\_ \]

\[
\begin{array}{ccccc}
x & 10 & 20 & 30 & 40 \\
P(X=x) & \frac{5}{50} & \frac{20}{50} & \frac{10}{50} & \frac{15}{50} \\
\end{array}
\]

Answer :

The expected value of X, E(X), is 26.2.

To calculate the expected value of X, E(X), for the given probability distribution, we multiply each value of X by its corresponding probability, and then sum up the products.

E(X) = (10 * 5/50) + (20 * 20/50) + (30 * 10/50) + (40 * 15/50)

E(X) = (0.2) + (8) + (6) + (12)

E(X) = 26.2

Therefore, the expected value of X, E(X), is 26.2.

Learn more about expected value from the given link:

https://brainly.com/question/24305645

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