1-8. A car is traveling on a straight street at a velocity . After the driver observed a block  ahead of the car, it takes the driver  seconds to react and decelerate at .

1)     For a normal driver, assume  is normally distributed

2)     For a drunk driver, assume

Determine the possibility that the car would hit the block.

Solution: the distance before a driver reacts and decelerates

  

 

1)     For a normal driver

 

2)     For a drunk driver