In: Math
A bridge on a small, rural road is designed to hold 10 cars when it is full and its maximum continuous weight that the bridge is designed to hold is 39,000 pounds. Assume that the average American car weighs 3750 pounds and that American cars' weights have a standard deviation of 200 pounds. If the bridge is fully loaded with 10 cars, what is the probability that it will be overloaded? Hint: Think about what the bridge designer thought the average weight of car that the bridge would hold would be and remember to draw a picture of the distribution to determine how you are treating the probability!
Do you think that the bridge in the previous question is safe to use? Why or why not?