A driver's reaction time in response to another car changing lanes is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.05 seconds.
1- What is the probability it takes a driver longer than 0.5 seconds to react?
2-We design braking systems to be safer by building to the reasonably slowest person. What reaction time will 99.99% of the drivers be faster than?
3- 80% of the driver reaction times will be slower than what reaction time?