Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place.

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**Lesson: Discrete Random Variables**

**Example Problem: Expected Value Calculation**

**Question 11 of 15, Step 1 of 5**

Consider the following data:

| x       | 4  | 5  | 6  | 7  | 8  |
|---------|----|----|----|----|----|
| P(X=x)  | 0.2| 0.3| 0.1| 0.1| 0.3|

**Step 1 of 5:** Find the expected value \( E(X) \). Round your answer to one decimal place.

**Instructions:**

- Enter your answer in the provided box.
- Use the "Submit Answer" button to check your work.

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--- 

This exercise requires you to calculate the expected value of a discrete random variable using the probability distribution provided. To do this, multiply each value of \( x \) by its corresponding probability \( P(X=x) \), then sum all these products:

\[ E(X) = \sum (x \times P(X=x)) \]

Round your final answer as instructed.
Transcribed Image Text:**Lesson: Discrete Random Variables** **Example Problem: Expected Value Calculation** **Question 11 of 15, Step 1 of 5** Consider the following data: | x | 4 | 5 | 6 | 7 | 8 | |---------|----|----|----|----|----| | P(X=x) | 0.2| 0.3| 0.1| 0.1| 0.3| **Step 1 of 5:** Find the expected value \( E(X) \). Round your answer to one decimal place. **Instructions:** - Enter your answer in the provided box. - Use the "Submit Answer" button to check your work. **Additional Features:** - Options to "Copy Data" - Access to "Tables" and "Keypad" through keyboard shortcuts --- This exercise requires you to calculate the expected value of a discrete random variable using the probability distribution provided. To do this, multiply each value of \( x \) by its corresponding probability \( P(X=x) \), then sum all these products: \[ E(X) = \sum (x \times P(X=x)) \] Round your final answer as instructed.
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