Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Answer A.2 and B
SITUATION 8 (a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch and standard deviation of 0.01 inch. (a.1) Find the probability that the elongation of a steel bar is above 0.1 inch. (a.2) Find the probability that the elongation of a steel bar is between 0.025 and 0.065 inch. (b) In a certain city, the daily consumption of water (in million liters) approximately follows a gamma distribution with parameters a = 2 and 3 = 3. If the daily capacity of the city is 9 million liters, what is the probability that on any given day, the water supply is inadequate?
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Transcribed Image Text:SITUATION 8 (a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch and standard deviation of 0.01 inch. (a.1) Find the probability that the elongation of a steel bar is above 0.1 inch. (a.2) Find the probability that the elongation of a steel bar is between 0.025 and 0.065 inch. (b) In a certain city, the daily consumption of water (in million liters) approximately follows a gamma distribution with parameters a = 2 and 3 = 3. If the daily capacity of the city is 9 million liters, what is the probability that on any given day, the water supply is inadequate?
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