In: Statistics and Probability
A civil engineering model for W W , the weight (in units of 1000 pounds) that a span of a bridge can withstand without sustaining structural damage is normally distributed. Suppose that for a certain span W ∼ N ( 350 , 35 2 ) . Suppose further that the weight of cars traveling on the bridge is a random variable with mean 3.5 and standard deviation 0.35 . Approximately how many cars would have to be on the bridge span simultaneously to have a probability of structural damage that exceeded 0.1 ?