document.write( "Question 1176927: The average number of homes sold by the GBRAR is four (4) homes per day. What is the probability that exactly six (6) homes will be sold tomorrow? \n" ); document.write( "
Algebra.Com's Answer #805051 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The average number of homes sold by the GBRAR is four (4) homes per day. \n" ); document.write( "What is the probability that exactly six (6) homes will be sold tomorrow? \n" ); document.write( "~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The problem does not state that the only Poisson distribution can be used.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Therefore, totally different (but still reasonable approach) can be developed and applied.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let's consider a random discrete variable X of the number of sold homes with integer values \r\n" ); document.write( "from 0 to 8 inclusive, uniformly distributed.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Such random variable satisfies the given restriction, having 4 homes per day as the average.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then we have the discretely distributed random variable having 9 possible values from 0 to 8 inclusive\r\n" ); document.write( "with the probability\r \n" ); document.write( "\n" ); document.write( "Solved (differently).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What is interesting, this answer of 0.1111 is not too far from the value of 0.1042, \n" ); document.write( "obtained by @Boreal with the use of the Poisson distribution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |