Justin and Kevin both ski the same run frequently

Math May 02, 2022

Justin and Kevin both ski the same run frequently. Justin completes the run with an average time of 42.7 minutes and a standard deviation of 1.6 minutes. Kevin completes the run with an average time of 41.4 minutes and a standard deviation of 2.7 minutes. Assume both distributions are Normal. What is the probability that Kevin will complete the run faster than Justin? Answer as a probability (between 0 and 1) to four decimal places.