Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Finding the Expected Value of a Random Variable**

**Problem Statement:**

Find the expected value for the random variable whose probability function graph is displayed here.

**Graph Explanation:**

- The graph is a bar chart representing the probability function of a discrete random variable.
- The x-axis (labeled 'x') represents the values of the random variable, ranging from 0 to 5.
- The y-axis (labeled 'P') represents the probability of each value, ranging from 0 to 0.5.
- The bar heights represent the probabilities of the random variable taking on each corresponding value.
  - Probability at x = 1: 0.2
  - Probability at x = 2: 0.1
  - Probability at x = 3: 0.15
  - Probability at x = 4: 0.05
  - Probability at x = 5: 0.5

**Question:**

What is the expected value of the random variable?  
*(Type an integer or a decimal.)*  

[Answer Box]
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Transcribed Image Text:**Finding the Expected Value of a Random Variable** **Problem Statement:** Find the expected value for the random variable whose probability function graph is displayed here. **Graph Explanation:** - The graph is a bar chart representing the probability function of a discrete random variable. - The x-axis (labeled 'x') represents the values of the random variable, ranging from 0 to 5. - The y-axis (labeled 'P') represents the probability of each value, ranging from 0 to 0.5. - The bar heights represent the probabilities of the random variable taking on each corresponding value. - Probability at x = 1: 0.2 - Probability at x = 2: 0.1 - Probability at x = 3: 0.15 - Probability at x = 4: 0.05 - Probability at x = 5: 0.5 **Question:** What is the expected value of the random variable? *(Type an integer or a decimal.)* [Answer Box]
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