document.write( "Question 464991: The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds.\r
\n" ); document.write( "\n" ); document.write( "What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)?
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)?
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?
\n" ); document.write( "

Algebra.Com's Answer #318632 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
The mean of the exponential function is \"10+=+1%2Falpha\". ==> \"alpha+=+1%2F10\".
\n" ); document.write( "==> Cdf is \"F%28x%29+=+1+-+1%2Fe%5E%28alpha%2Ax%29+=+1+-+1%2Fe%5E%28x%2F10%29\"
\n" ); document.write( "==> \"F%2812%29+=+1+-+1%2Fe%5E%2812%2F10%29+=+1+-+1%2Fe%5E%286%2F5%29+=+0.6988\"\r
\n" ); document.write( "\n" ); document.write( "==> \"F%286%29+=+1+-+1%2Fe%5E%286%2F10%29+=+1+-+1%2Fe%5E%283%2F5%29+=+0.4512\"\r
\n" ); document.write( "\n" ); document.write( "==> \"1+-+F%2830%29+=+1+-+%28+1+-+1%2Fe%5E%2830%2F10%29%29+=+1%2Fe%5E3+=+0.0498\"
\n" ); document.write( "
\n" );