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Safety checks on the roads outside the university are conducted on a daily basis. It is known that on average, 0.5 potholes are found per day on the roads. Cracks on the road are also found an average rate of 0.75 per day. Find the probability that in a randomly chosen period of 20 days, there is at most 2 potholes found given that a total of 10 faults (cracks + potholes) are discovered. State any assumptions you may have made.

Safety checks on the roads outside the university are conducted on a daily basis. It is known that on average, 0.5 potholes are found per day on the roads. Cracks on the road are also found an average rate of 0.75 per day. Find the probability that in a randomly chosen period of 20 days, there is at most 2 potholes found given that a total of 10 faults (cracks + potholes) are discovered. State any assumptions you may have made.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Safety checks on the roads outside the university are conducted on a daily basis. It is known that on average, 0.5 potholes are found per day on the roads. Cracks on the road are also found an average rate of 0.75 per day. Find the probability that in a randomly chosen period of 20 days, there is at most 2 potholes found given that a total of 10 faults (cracks + potholes) are discovered. State any assumptions you may have made.
Transcribed Image Text:Safety checks on the roads outside the university are conducted on a daily basis. It is known that on average, 0.5 potholes are found per day on the roads. Cracks on the road are also found an average rate of 0.75 per day. Find the probability that in a randomly chosen period of 20 days, there is at most 2 potholes found given that a total of 10 faults (cracks + potholes) are discovered. State any assumptions you may have made.
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