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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.
A study done at the University of Maryland (cited in Weiss, Introductory Statistics, 7th ed, 2005) measured the body temperatures of 93 healthy humans. On the frequency- histogram
Ten students are given coaching for environmental statistics. The score obtained in tests 1 and 5 are given below: Sl No of student 1 2 3 4 5 6 7 8 9 10 Marks in 1st test 50 52 53
A researcher working for a drug company is interested in investigating the effect of storage on the potency of one of the company's drugs. 10 freshly produced bottles of the drug a
Data Analysis: A qualitative survey was conducted in order to understand the impact of international accounting standards. To start with, a secondary research was done to unders
if sales is 6800 and variable costs are 2856 what is the variable cost percentage?
finding combine mean and standard deviation?
A study on the occurrence of line faults in an electricity supply network was carried out over a two-year period. Data was collected from six regions on the number of faults per y
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AMORTIZATION The slow decrease or liquidation of an quantity over a time interval according to a specified program (such as, the pension of a debts by sequential repayments to the
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