Math Problem Statement
Find the mean value of the random variable whose pdf is given by F(x) =3 by 5 10^-5 x (100-x), 0≤x≤100
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Probability Theory
Expected Value
Integration
Formulas
E(X) = ∫ x * f(x) dx over the range of x
Integral of a product of terms, as in ∫ x^n dx
Theorems
Expected Value of a Continuous Random Variable
Suitable Grade Level
Undergraduate
Related Recommendation
Mean Value Calculation for PDF: F(x) = 3/5 * 10^5 * x(100 - x)
Mean Value Calculation for a Continuous Random Variable with PDF f(x) = 0.75(1 - x^2)
Expected Value of a Continuous Random Variable: f(x) = 1/24 * x over [4, 8]
Find E[X^2] and Var(X) for Exponential Distribution with PDF f(x) = 2e^(-2x)
Determine K and Calculate Mean for Gaussian-like PDF