1. A highway bridge is designed to pass through a river discharge with a recurrent interval of 50 years without overtopping the roadway. a) Compute the probability that the bridge will be overtopped at least once during the next 10 years. b) Compute the probability that the bridge will be overtopped exactly one time during the next 10 years. c) Compute the probability that the bridge will be overtopped in 2 of the next 50 years.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1. A highway bridge is designed to pass through a river discharge with a recurrent interval of 50
years without overtopping the roadway.
a) Compute the probability that the bridge will be overtopped at least once during the next
10 years.
b) Compute the probability that the bridge will be overtopped exactly one time during the
next 10 years.
c) Compute the probability that the bridge will be overtopped in 2 of the next 50 years.
Transcribed Image Text:1. A highway bridge is designed to pass through a river discharge with a recurrent interval of 50 years without overtopping the roadway. a) Compute the probability that the bridge will be overtopped at least once during the next 10 years. b) Compute the probability that the bridge will be overtopped exactly one time during the next 10 years. c) Compute the probability that the bridge will be overtopped in 2 of the next 50 years.
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