Two local high school runners, Juan and Stevie, are the favorites in the 400-meter dash at an upcoming meet. Suppose Juan's 400-meter times are normally distributed with a mean of 50.4 seconds and a standard deviation of 0.6 seconds, while Stevie's times are normally distributed with a mean of 50.7 seconds and a standard deviation of 0.8 seconds. (a) If you choose a random time that Juan has run and a random time that Stevie has run, what is the probability that Juan's time would be faster (lower)? (b) When Juan and Stevie race against each other in the upcoming meet, do you believe their times will be independent of one another? Explain