Ononot — A continuous random variable X has a probability density fun

Guest Session: 1 Question Remaining. Create Account to save progress.

Random Variablesmedium

0:00.0

A continuous random variable $X$ has a probability density function (PDF) $f(x) = \lambda e^{-\lambda x}$ for $x \ge 0$ , where $\lambda > 0$ . If $Y = X - E[X]$ , what is the expected value of $e^Y$ ?