A civil engineering model for W, the weight (in units of 1000 pounds) that a span...

Transcribed Image Text:

A civil engineering model for 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(500, 50). Suppose further that the weight of cars traveling on the bridge is a random variable with mean 3 and standard deviation 0.3. Approximately how many cars would have to be on the bridge span simultaneously to have a probability of structural damage that exceeded 0.1? Approximately 131 cars (round to an integer number). A civil engineering model for 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(500, 50). Suppose further that the weight of cars traveling on the bridge is a random variable with mean 3 and standard deviation 0.3. Approximately how many cars would have to be on the bridge span simultaneously to have a probability of structural damage that exceeded 0.1? Approximately 131 cars (round to an integer number).