This is the density function of the so-called exponential distribution with rate l . The number t is the median of this exponential distribution. A typical property of right-skewed distributions is that the mean exceeds the median. A proof requires the definitional formula for the mean of a continuous distribution and integration by parts. Let W be the waiting time for the first count in a Poisson Process with rate 0.5 per minute.
All times are in minutes.
They work or fail independently of each other. Show that the lifetime of the system is also exponentially distributed. All rights reserved. Intended for instructional use at California State University, Hayward.