Problem 2 Normal Distributions A lake has one input stream with a flow rate of 4 m/min. The value of the concentration, C, was monitored. The concentration was found to be normally distributed, with a mean value, ** 10 grams/m and a standard deviation, a 2 grams/m Assume steady-state and a conservative pollutant. a. What is the mean "flow of pollutant", QC, into the lake in grams/min? Show calculations. b. Since the standard deviation of the concentration, C, is 2 grams/m', what is the standard deviation of the "flow of pollutant", QC, in grams/min? Show calculations.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 2 Normal Distributions
A lake has one input stream with a flow rate of 4 m/min. The value of the concentration, C,
was monitored. The concentration was found to be normally distributed, with a mean value,
* 10 grams/m and a standard deviation, a- 2 grams/m
Assume steady-state and a conservative pollutant.
a. What is the mean "flow of pollutant", QC, into the lake in grams/min? Show
calculations.
b. Since the standard deviation ef the concentration, C, is 2 grams/m, what is the
standard deviation of the "flow of pollutant", QC, in grams/min? Show calculations.
c. What is the probability that the concentration of pollutant, C, will be between 12
grams/m and 15 grams/m? Show calculations and indicate on normal distribution
curve,
Transcribed Image Text:Problem 2 Normal Distributions A lake has one input stream with a flow rate of 4 m/min. The value of the concentration, C, was monitored. The concentration was found to be normally distributed, with a mean value, * 10 grams/m and a standard deviation, a- 2 grams/m Assume steady-state and a conservative pollutant. a. What is the mean "flow of pollutant", QC, into the lake in grams/min? Show calculations. b. Since the standard deviation ef the concentration, C, is 2 grams/m, what is the standard deviation of the "flow of pollutant", QC, in grams/min? Show calculations. c. What is the probability that the concentration of pollutant, C, will be between 12 grams/m and 15 grams/m? Show calculations and indicate on normal distribution curve,
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