document.write( "Question 1200058: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/25 where x goes between 4 and 29 minutes. Round answers to 4 decimal places when possible.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. This is a
\n" ); document.write( "Uniform
\n" ); document.write( "Correct distribution.\r
\n" ); document.write( "\n" ); document.write( "b. It is a
\n" ); document.write( "Continuous
\n" ); document.write( "Correct distribution.\r
\n" ); document.write( "\n" ); document.write( "c. The mean of this distribution is
\n" ); document.write( "16.5
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( "d. The standard deviation is
\n" ); document.write( "7.2169
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( "e. Find the probability that the time will be at most 12 minutes.
\n" ); document.write( "0.32
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( "f. Find the probability that the time will be between 5 and 9 minutes.
\n" ); document.write( "0.16
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( "g. Find the 41st percentile.
\n" ); document.write( "14.25
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( "h. Find the probability that the time is more than 23 minutes given (or knowing that) it is at least 8 minutes.
\n" ); document.write( "0.2857
\n" ); document.write( "Incorrect
\n" ); document.write( "0.7143\r
\n" ); document.write( "\n" ); document.write( "I only need help for letter H. The answer for letter H is 0.7143 but I need help understanding how they got the answer.
\n" ); document.write( "

Algebra.Com's Answer #834070 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Your answer is right for part h.

\n" ); document.write( "P(greater than 23, given that it is at least 8) = (29-23)/(29-8) = 6/21 = 2/7 = .2857 (rounded)

\n" ); document.write( "
\n" ); document.write( "
\n" );