Question

A civil engineering model for WW, 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)W∼N(500,50). Suppose further that the weight of cars traveling on the bridge is a random variable with mean 3.53.5 and standard deviation 0.350.35. Approximately how many cars would have to be on the bridge span simultaneously to have a probability of structural damage that exceeded 0.10.1?

Approximately _______________  cars (round to an integer number).

Answer 1

given that

N(500,50)

mean = 500

variance = 50