Question

E(X) = 4 then E(X - 2) = ------------

• A. 1
• B. 2
• C. 0
• D. 4

Hint:

The expected value operator is linear, meaning \(E(X - c) = E(X) - c\), where \(c\) is a constant.

Answer 1

The Correct Option is C

Step 1: Understanding the expected value property.
The expected value operator \(E(\cdot)\) is linear, meaning that: \[ E(X - 2) = E(X) - 2 \] Given \(E(X) = 4\), we substitute into the equation: \[ E(X - 2) = 4 - 2 = 2 \]
Step 2: Conclusion.
The correct answer is (B) 2, as the expected value of \(X - 2\) is 2. Final Answer:} 2.