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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).

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).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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