Given that a random variable X follows an Exponential Distribution with paramater β, how would you prove the memoryless property?(adsbygoogle = window.adsbygoogle || []).push({});

That is, that P(X ≤ a + b|X > a) = P(X ≤ b)

The only step I can really think of doing is rewriting the left side as [P((X ≤ a + b) ^ (X > a))]/P(X > a). Where can I go from there?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proving the memoryless property of the exponential distribution

Loading...

Similar Threads - Proving memoryless property | Date |
---|---|

I Prove if x + (1/x) = 1 then x^7 + (1/x^7) = 1. | Mar 9, 2016 |

I Proving Odd and Even | Feb 13, 2016 |

Prove A.(B+C) = (A.B)+(A.C) <Boolean Algebra> | Oct 24, 2015 |

Why is waiting time memoryless? (in Stochastic Processes) | Jan 20, 2011 |

**Physics Forums - The Fusion of Science and Community**