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(500,50^2). 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  =   cars (round to an integer number).

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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(500,50^2). 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  =   cars (round to an integer number).

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