Find the Expected Value of a Random Variable X Having

question 60

Multiple Choice

Find the expected value of a random variable X having the following probability distribution: $$\begin{array} { c c c c c } x & 10 & 20 & 30 & 40 \\P ( X = x ) & \frac { 20 } { 50 } & \frac { 10 } { 50 } & \frac { 15 } { 50 } & \frac { 5 } { 50 }\end{array}$$ Round your answer to tenth if necessary.

• A) \(E ( X ) = 21\)
• B) \(E ( X ) = 16\)
• C) \(E ( X ) = 25\)
• D) \(E ( X ) = 12.5\)
• E) \(E ( X ) = 10\)