engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Probability Continuous Distributions
A random variable is known to have a cumulative distribution function \(F_X (x)=U(x)\left(1-\dfrac{x^2}{b}\right)\). Its density function is:
1
\(U(x)\frac{2x}{b} e^{-x^2/b}\)
2
\(U(x) \dfrac{2x}{b}(1-e^{-x^2/b}) \)
3
\(U(x)\left(1-\dfrac{x^2}{b}\right)δ(x)\)
4
\(δ(x) - \dfrac{2x}{b} U(x)\)