Question
In: Statistics and Probability
The article “Monte Carlo Simulation—Tool for Better Understanding of LRFD” (J. of Structural Engr., 1993: 1586–1599)...
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 greater than 58?
b. What yield strength value separates the strongest 75% from the others?
c. what is the probability that the thread length of a randomly selected bolt is Within 1.5 SDs of its mean value?
Solutions
Expert Solution
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(3.33, TRUE)" to find the probability.
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Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.75 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.75)" to find the Z-value.
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Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.5, TRUE)" & "=NORM.S.DIST(1.5, TRUE)" to find the probability.
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orchestra answered 1 year agoRelated Solutions
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The article “Ultimate Local Capacities of Expansion Anchor Bolts” (J. of Energy Engr., 1993: 139- 158)...
The article “Ultimate Local Capacities of Expansion Anchor
Bolts” (J. of Energy Engr., 1993: 139- 158) gave the following
summary data on shear strength (kip) for a sample of 3/8-in anchor
bolts: n= 18, mean is 4.25, and a sample standard deviation of 1.3.
Calculate a 95% confidence interval for true average shear
strength. Interpret your finding.
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This problem is also a Monte Carlo simulation, but this time in the continuous domain: must...
This problem is also a Monte Carlo simulation, but this time in
the continuous domain: must use the following fact: a circle
inscribed in a unit square
has as radius of 0.5 and an area of ?∗(0.52)=?4.π∗(0.52)=π4.
Therefore, if you generate num_trials random points in the unit
square, and count how many land inside the circle, you can
calculate an approximation of ?
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Understand the seven steps of conducting a simulation
Explain the advantages and disadvantages of simulation
Develop random number intervals and use them to generate
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Understand alternative computer simulation packages
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Explain the different type of simulations
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Discuss about Monte Carlo simulation, with a focus on its steps. (100% rating)
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problem is also a Monte Carlo simulation, but this time in the continuous domain: must use...
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continuous domain: must use the following fact: a circle inscribed
in a unit square
has as radius of 0.5 and an area of ?∗(0.52)=?4.π∗(0.52)=π4.
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