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:

\(U(x) \frac{2x}{b}(1-e^{-x^2/b}) \)

\(U(x)\frac{2x}{b} e^{-x^2/b}\)

\((1-\frac{x^2}{b})δ(x)+e^{-x^2/b}\)

A random variable is known to have a cumulative distribution function�

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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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:

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