When traveling 40 mph (miles per hour), the distance that ittakes Fred’s car to stop varies evenly between 120 and 155 feet.(This includes the reaction distance and the braking distance.) Allof the questions are related to the stopping distance when Fred istraveling 40 mph.
a) Let S be the distance it takes for Fred’s car to stop at whentraveling 40 mph. Find the distribution, parameter(s), and supportof S.
b) What is the probability that it takes between 115 and 138feet for the car to stop?
c) Find the expected distance it will take Fred to stop and thestandard deviation of the stopping distance.
d) What values represent the middle 60% of Fred’s stoppingdistances?
e) Suppose a squirrel darts into the road as Fred is driving,and when Fred finally sees the squirrel and applies the brakes, thesquirrel is 131 feet away. What is the probability that thesquirrel survives its encounter with Fred (i.e. that Fred stopsbefore he hits the squirrel)?
f) Fred knows that when it rains, it will take a minimum of 127feet to stop. Fred is out driving while it is raining. If there isa stop sign that is 135 feet away, what is the probability thatFred stops in time?
