Trucks that travel on highways have to stop at various locations to be weighed a

Question

Trucks that travel on highways have to stop at various locations to be weighed and i spected or sale brakes and I ht systems. tese tr ks, 71% are on interstate comme oe whic 2 % are intrastate. O the intrastate rucks, 3 6% are flagged for safety defects compared to 0.8% of those that are on interstate business. Complete parts a through c below. a. Caloulate the probablity that a randomly chosen truck is an interstate truck and is not flagged for a safety violation The probability is Round to tbree decimal places as needed.

Explanation / Answer

Answer to the question is as follows:

a.

Lets suppose there are 100 trucks = 71 interstate commerce + 29 interstate

So, thereare 3.6% of 71 interstate commerce = 2.556 interstate commerce with defect

So, thereare 0.8% of 29 interstate commerce = .232 interstate commerce with defect

P*(randomly choosen truck is an interstate truck and not flaged for a safety violation) = (29-.232)/100 = .2877 or 28.77%

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