document.write( "Question 1131590: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes. Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 9 minutes?\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)\r
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #748677 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! mean is 1/26.23 or 0.0381 minutes \n" ); document.write( "in the next 9 minutes is still the relevant time \n" ); document.write( "P(x<9) is 1-e^(-9*0.0381)=0.2903. \n" ); document.write( " |