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 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? Tags distribution, exponential Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded 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

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