) What is the probability that there are no major cracks in two separate 5-mile stretches of the highway? (f) Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected? (g) If 10 separate one-mile stretches are considered, what is the probability that at least one of the 10 stretches will contain at least one crack?
) What is the probability that there are no major cracks in two separate 5-mile stretches of the highway? (f) Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected? (g) If 10 separate one-mile stretches are considered, what is the probability that at least one of the 10 stretches will contain at least one crack?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles.
(e) What is the probability that there are no major cracks in two separate 5-mile stretches of the highway?
(f) Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?
(g) If 10 separate one-mile stretches are considered, what is the probability that at least one of the 10 stretches will contain at least one crack?
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