Let X Expo(), and let c be a positive constant. (a) If you remember the memoryless
Chapter 7, Problem 12(choose chapter or problem)
Let X Expo(), and let c be a positive constant. (a) If you remember the memoryless property, you already know that the conditional distribution of X given X>c is the same as the distribution of c + X (think of waiting c minutes for a success and then having a fresh Expo() additional waiting time). Derive this in another way, by finding the conditional CDF of X given X>c and the conditional PDF of X given X>c. (b) Find the conditional CDF of X given X
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