Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean flow rate (QA) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean flow rate (QB) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller than its mean discharge rate (Qa), tributary B also has a discharge rate smaller than its mean discharge rate (QB). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii) tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher than its mean discharge rate, and (v) probability of no shortage of discharge rate in River C if no shortage of discharge rate occurs when both tributaries (A and B) have discharge rates higher than their respective mean discharge rates. (e)
Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean flow rate (QA) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean flow rate (QB) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller than its mean discharge rate (Qa), tributary B also has a discharge rate smaller than its mean discharge rate (QB). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii) tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher than its mean discharge rate, and (v) probability of no shortage of discharge rate in River C if no shortage of discharge rate occurs when both tributaries (A and B) have discharge rates higher than their respective mean discharge rates. (e)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow
data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean
(e)
flow rate (QA) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean
flow rate (QB) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller
than its mean discharge rate (QA), tributary B also has a discharge rate smaller than its mean discharge
rate (QB). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean
discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii)
tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a
discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher
than its mean discharge rate, and (v) probability of no shortage of discharge rate in River C if no
shortage of discharge rate occurs when both tributaries (A and B) have discharge rates higher than their
respective mean discharge rates.
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