Your arrival time at work, in minutes after 8 am, X,  is  f(…

Your arrival time at work, in minutes after 8 am, X,  is  f(x) = e-x for x > 0.  This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted to Chegg.com or any other website or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University. X What is the probability that you arrive before 8:0[a] am? Express your answer to four decimal places.