(Solved): Let the random variable \( X \) follow an exponential distribution with \( \lambda=1.5 \). Find th ...

Let the random variable \( X \) follow an exponential distribution with \( \lambda=1.5 \). Find the probability of \( X \) being in between 1 and 2 ? The pdf of an exponential distribution: \[ f_{X}(x)=\left\{\begin{array}{cc} \lambda e^{-x \lambda} & x>0 \\ 0 & \text { otherwise } \end{array}\right. \]