Math Problem Statement
Let X~U[0,6.1], what is E(X)? Give answer to 2 decimal places.
Solution
For a random variable uniformly distributed on the interval , the expected value is calculated using the formula:
In this case, , so and . Plugging these values into the formula:
Thus, .
Let me know if you'd like more details or additional questions on uniform distribution.
Here are related questions:
- How do you calculate the variance of for a uniform distribution?
- What is the probability density function (PDF) of a uniform distribution?
- How does the uniform distribution differ from other continuous distributions?
- What is the cumulative distribution function (CDF) for a uniform distribution?
- How is a uniform distribution used in simulation models?
Tip: For a uniform distribution, the mean is always halfway between the minimum and maximum values of the interval.
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Math Problem Analysis
Mathematical Concepts
Probability
Uniform Distribution
Formulas
Expected Value of Uniform Distribution
Theorems
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Suitable Grade Level
Advanced High School
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