Essay (50 points) The Constitution How is the U.S. Constitut…

Essay (50 points) The Constitution How is the U.S. Constitution distinct from that of other countries?  Is the brevity and vagueness of the U.S. Constitution a strength or weakness of the document?  How can we understand the provisions of the U.S. Constitution based on the time at which it was written?  Are there any antiquated elements of the U.S. Constitution?  Is it time for another Constitutional Convention?

Essay (50 points) Political Parties When George Wallace ran…

Essay (50 points) Political Parties When George Wallace ran for president in 1968, he argued that “There’s not a dimes worth of difference between the Democratic and Republican parties.  Do you agree or disagree with Wallace’s statement?  Why?  Should there be a large ideological difference between the parties?  How do party systems work in other countries?  Would the United States be better off if it had a different party system?

Please note that this question consists of five parts. Show…

Please note that this question consists of five parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  The amount of sugar in 1 kg (1000 g) sugar packets is normally distributed with mean of 1032 g and standard deviation 28 g.  What proportion of sugar packets are underweight (below 1000 g)? What is the proportion of sugar packets whose weight is between 990 g and 1050 g? What weight value divides the 15% heaviest sugar packets from the rest? A random sample of 16 sugar packets is weighed. What is the distribution, mean and the standard deviation of the sampling distribution of the sample mean of weights of these 16 sugar packets? What is the probability that the sample mean of weights of these 16 sugar packets is below 1000 g?

Please note that this question consists of five parts. Show…

Please note that this question consists of five parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  In a large corporation, 22% of sales trainees are rated as excellent. A sample of 8 sales trainees is selected at random. Let X be the number of sales trainees in this sample who are rated as excellent.  What is the distribution of X? Clearly state the parameters of the distribution. Write down the probability mass function f(x) for the distribution of X. That is, write the probability mass function specific for the random variable of interest in this problem, not just the general formula. What is the probability that none in the sampled 8 sales trainees are rated as excellent? What is the probability that two or more sales trainees in this sample are rated as excellent? Would it be unusual if all 8 of sales trainees in this sample are rated as excellent? Show any calculation relevant to your answer.