Find the Expected Value of a Random Variable X Having

question 49

Multiple Choice

Find the expected value of a random variable X having the following probability distribution: $$\begin{array} { c c c c c } x & 2 & 4 & 6 & 8 \\P ( X = x ) & \frac { 9 } { 40 } & \frac { 6 } { 40 } & \frac { 1 } { 40 } & \frac { 24 } { 40 }\end{array}$$ Round your answer to tenth if necessary.

• A) \(E ( X ) = 4\)
• B) \(E ( X ) = 5\)
• C) \(E ( X ) = 6\)
• D) \(E ( X ) = 10\)
• E) \(E ( X ) = 20\)

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