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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.
The study of radioactive disintegrations indicates the emission of alpha, beta and gamma particles/rays to be of nuclear origin. Further, study of artificial radioactivity has reve
Given the following pairs of random variables and compute the following sums. (NB: show your working table). 3 -7 2 10 6 11 10 12 15 14 (b) (c) (d) ?¦?2y
what is difference between histogram and historigram
The following are actual data showing the latitude of a sample of major cities in the northern hemisphere and their mean high annual temperature. latitude(X)
A survey was conducted among the residents of Pune City, its suburbs and the PuneCantonment area. The following three pie diagrams show their respective preferences for living in C
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the st
. Good day, Using 4-inch pole caps and a Mettler M5 balance, I got all the values required in order to calculate the magnetic susceptibility of several inorganic compounds such as
a prosecuting attorney in a criminal case presented as principal evidence small fragment of glass found imbedded in the coat of the accused.the attorney claimed that the
pie charts
For a normal distribution why do we calculate the probability of a range of numbers instead of the probability of a single number?
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