TIFR ECE 2014 | Question: 3

Question

For a non-negative continuous random variable $X$, which of the following is TRUE?

• A. $E\{X\}=\int_{0}^{\infty} P(X>x) d x$.
• B. $E\{X\}=\int_{0}^{\infty} P(X \leq x) d x$.
• C. $P(X<x) \leq \frac{E\{X\}}{x}$.
• D. $(a)$ and $(c)$.
• E. None of the above.