Which of the following functions is not p.d.f. of a continuous random variable X ? $F_{1}$ given by $\begin{aligned} f(x) &=e^{-x} & \text { if } & 0

contexto.140

3 years ago

The correct option is option( B) $\bar{F}_{4}$

The probability density function (pdf), denoted f, of a continuous random variable X satisfies the following: f(x)≥0, for all x∈R. f is piecewise continuous. ∞∫−∞f(x)dx=1.

But $\bar{F}_{4}$ does not satisfies the condition.