Given a uniform distribution with a = 3, b = 10, and x = 4, Calculate the probability density function ƒ(4), μ, and σ2
The uniform distribution probability is denoted below for a < x < b:
ƒ(x) =
1
b - a
Plugging in our values for a, b, and x, we get:
ƒ(4) =
1
10 - 3
ƒ(4) =
1
7
Calculate the mean μ
μ =
a + b
2
μ =
3 + 10
2
μ =
13
2
μ = 6.5
Calculate the median:
The median equals the mean → 6.5
Calculate the variance σ2:
σ2 =
(b - a)2
12
σ2 =
(10 - 3)2
12
σ2 =
72
12
σ2 =
49
12
σ2 = 4.0833333333333
Calculate the standard deviation σ
σ = √σ2 σ = √4.0833333333333
σ = 2.0207259421637
You have 2 free calculationss remaining
What is the Answer?
σ = 2.0207259421637
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.
What 2 formulas are used for the Uniform Distribution Calculator?