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1.) Consider two chains R and S, each having 3 and 6 links respectively. Each link's resisting strength is normally distributed with a mean of 60,000 psi and standard deviation of 5,000 psi.
Determine which chain is generally weaker. Also, plot the probability distribution functions of their resisting strengths.
2.) The annual maximum stage height in a river channel is modeled by a Type I asymptotic distribution of the largest value, with a mean value of 30 ft and a coefficient of variation of 10%.
The stage height at which flooding is known to occur is 40 ft. What is the probability that the annual maximum stage height will exceed this level?
3.) A steel cable consists of 8 high-strength steel strands. The strength of each strand can be modelled by a lognormal RV with a mean value of 50 kips and a coefficient of variation of 10%. What is the probability that the weakest strand will have strength less than 40 kips? Also:
a. Calculate this probability if the cable consists of 16 strands.
b. Of 32 strands.
c. Of 64 strands.
Question 1: (a) The grouping of organisational activities (usually into ‘departments' or larger ‘divisions') will be done in different ways. Outline the criteria which can be u
Why do Jovian planets have rings? - Ring particles cannot have lasted for billions of years so the particles we see today must have been created recently. - New ring particles
To examine a program for educating health professionals in a sports injury clinic about the importance of keeping detailed medical records, a researcher does a controlled trial i
Explain how you would decide whether to use the additive model or the multiplicative model to analyse a time series.
Midrange The midrange is the measure of the center that is the value midway between the highest and the lowest values in the original data set. It is found by adding the highes
Bob Smith recently completed his MBA and accepted a job with a computer company. To ensure that his retirement is comfortable, he intends to invest $3,000 of his salary into a tax
Regression line drawn as Y =C+1075x, when x was 2, and y was 239. Given that y intercept was 11. Calculate the residual.
What is prime cost? Primary price is the combination of a manufactured item's expenditures of immediate materials and immediate labor. In other words, prime price represent
explain requisites of good average
The Foschini Group has just issued a batch of preference shares that will pay a constant dividend of R8, beginning 6 years from now. If the required rate of return is 8%, what does
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