Math Problem Statement
Solution
To calculate the expected value of a discrete random variable, we use the following formula:
Given the table with the values of and :
Now, applying the formula:
Let’s compute that:
Thus, the expected value of the scenario is:
Would you like any further clarification or more details on this? Here are some related questions you might find interesting:
- How is the expected value different from the median in probability?
- What is the variance of this distribution?
- How do you compute the expected value for continuous distributions?
- Why is the sum of probabilities always 1 in a probability distribution?
- Can you give an example of a scenario where the expected value doesn't represent the most likely outcome?
Tip: The expected value is a weighted average of all possible outcomes, but it doesn't necessarily mean it's the value most likely to occur in practice.
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Math Problem Analysis
Mathematical Concepts
Probability
Expected Value
Formulas
E(X) = Σ x_i P(x_i)
Theorems
Expected Value Theorem
Suitable Grade Level
Grades 10-12
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