Question

If the probability $P(x) = 0.8$ and $x = 3$, then find the expected value $E(x) = ?$

• A. 2.6
• B. 2.8
• C. 2.2
• D. 2.4

Hint:

Expectation is simply the probability-weighted average of the values.

Answer 1

The Correct Option is D

Step 1: Concept
Expected value of a discrete random variable.

Step 2: Analysis
$E(x) = \sum [x \cdot P(x)]$.

Step 3: Calculation
$E(x) = 3 \times 0.8 = 2.4$.

Step 4: Conclusion
The expected value is 2.4. Final Answer: (D)