You're purchased your first electric car and the battery charge is normally distributed and expected to last for 350 miles with a standard deviation of 25 miles before needing to be recharged.
1. You're planning a trip and on one leg, the distance between recharging stations is 400 miles. What is the probability that you'll make it to the station 400 miles away?
2. You're selecting an alternate route and now the recharging station is located 300 miles away. What is the probability that you'll make it to the station 300 miles away?