My Math Forum Exponential Distribution

 Probability and Statistics Basic Probability and Statistics Math Forum

 April 24th, 2016, 11:38 PM #1 Senior Member   Joined: Jan 2014 Posts: 196 Thanks: 3 Exponential Distribution I am having trouble setting up the solution to the following problem. In a mile race between $\displaystyle A$ and $\displaystyle B$, the time it takes $\displaystyle A$ to complete the mile is an exponential random variable with rate $\displaystyle λ_a$ and is independent of the time it takes $\displaystyle B$ to complete the mile, which is an exponential random variable with rate $\displaystyle λ_b$. The one who finishes earliest is declared the winner and receives $\displaystyle Re^{−αt}$ if the winning time is $\displaystyle t$, where $\displaystyle R$ and $\displaystyle \alpha$ are constants. If the loser receives $\displaystyle 0$, find the expected amount that runner $\displaystyle A$ wins. Thank you for any help
 April 26th, 2016, 06:44 PM #2 Senior Member   Joined: Jan 2014 Posts: 196 Thanks: 3 when it says receives $\displaystyle 0$, what is the the $\displaystyle 0$ referring to?

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post alan02011114 Advanced Statistics 0 April 21st, 2015 10:03 AM jovic1104 Advanced Statistics 1 July 18th, 2010 01:39 AM backtoreality15 Advanced Statistics 1 May 8th, 2009 07:17 AM meebo0129 Advanced Statistics 0 November 9th, 2007 11:16 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top