Question

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(350,352) 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?

Answer #1

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(450,45^2). Suppose further that the weight of cars
traveling on the bridge is a random variable with mean 2.5 and
standard deviation0.250. 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...

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?...

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