Solution Found!
The article “Monte Carlo Simulation—Tool for Better
Chapter 5, Problem 40E(choose chapter or problem)
The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (?J. of Structural Engr., ?1993: 1586–1599) suggests that yield strength (ksi) for A36 grade steel is normally distributed with ? = 43 and ? = 4.5. a.? ?What is the probability that yield strength is at most 40? Greater than 60? b.? ?What yield strength value separates the strongest 75% from the others?
Questions & Answers
QUESTION:
The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (?J. of Structural Engr., ?1993: 1586–1599) suggests that yield strength (ksi) for A36 grade steel is normally distributed with ? = 43 and ? = 4.5. a.? ?What is the probability that yield strength is at most 40? Greater than 60? b.? ?What yield strength value separates the strongest 75% from the others?
ANSWER:Answer Step 1 of 3 Given = 43 and = 4.5 a) The probability that yield strength is at most 40 Z=(x-)/ =(40-43)/4.5 =-0.67 P(x40)=P(z-0.67) =0.2514 The probability that yield strength is at most 40 is 0.2514