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1. |
A random variable is known to have a cumulative distribution function \(F_X (x)=U(x)(1-\frac{x^2}{b})\). Its density function is: |
A. | \(U(x) \frac{2x}{b}(1-e^{-x^2/b}) \) |
B. | \(U(x)\frac{2x}{b} e^{-x^2/b}\) |
C. | \(U(x)(1-\frac{x^2}{b})δ(x)\) |
D. | \((1-\frac{x^2}{b})δ(x)+e^{-x^2/b}\) |
Answer» C. \(U(x)(1-\frac{x^2}{b})δ(x)\) | |