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. \(U(x)(1-\frac{x^2}{b})δ(x)\)


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