Given a uniform distribution with a = 670, b = 770, and x = 730, Calculate the cumulative distribution function F(730), μ, and σ2
The uniform distribution probability is denoted below for a < x < b:
| F(x) = | x - a |
| b - a |
Plugging in our values for a, b, and x, we get:
| F(730) = | 730 - 670 |
| 770 - 670 |
| F(730) = | 60 |
| 100 |
Calculate the mean μ
| μ = | a + b |
| 2 |
| μ = | 670 + 770 |
| 2 |
| μ = | 1440 |
| 2 |
μ = 720
Calculate the median:
The median equals the mean → 720Calculate the variance σ2:
| σ2 = | (b - a)2 |
| 12 |
| σ2 = | (770 - 670)2 |
| 12 |
| σ2 = | 1002 |
| 12 |
| σ2 = | 10000 |
| 12 |
σ2 = 833.33333333333
Calculate the standard deviation σ
σ = √σ2σ = √833.33333333333
σ = 28.867513459481
You have 2 free calculationss remaining
What is the Answer?
σ = 28.867513459481
How does the Uniform Distribution Calculator work?
Free Uniform Distribution Calculator - This calculates the following items for a uniform distribution
* Probability Density Function (PDF) ƒ(x)
* Cumulative Distribution Function (CDF) F(x)
* Mean, Variance, and Standard Deviation
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
* Probability Density Function (PDF) ƒ(x)
* Cumulative Distribution Function (CDF) F(x)
* Mean, Variance, and Standard Deviation
Calculates moment number t using the moment generating function
This calculator has 4 inputs.
What 2 formulas are used for the Uniform Distribution Calculator?
What 5 concepts are covered in the Uniform Distribution Calculator?
- mean
- A statistical measurement also known as the average
- moment
- a function are quantitative measures related to the shape of the functions graph
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- uniform distribution
- Statistical distribution with constant probability
M = 1/(b - a) - variance
- How far a set of random numbers are spead out from the mean
Example calculations for the Uniform Distribution Calculator
Uniform Distribution Calculator Video
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