DESCRIPTION Students: Please keep in mind the OMSI rules. Save your files often, make sure OMSI fills your entire screen at all times, etc. Remember that clicking CopyQtoA will copy the entire question box to the answer box. In questions involving code which will PARTIALLY be given to you in the question specs, you may need add new lines. There may not be information given as to where the lines should be inserted. If a question includes test code, make sure to include it in your submission. Do not answer any question with simulation code unless this is specified. MAKE SURE TO RUN THE CODE IN PROBLEMS INVOLVING CODE! Hit the OMSI Submit and Run button. QUESTION (Text answer, 30 points.) Consider the museum demonstration of the Central Limit Theorem (Sec 7.31, p.162.) The balls in the bins are drawing a(n) ______________________ of the values of X. QUESTION -ext .R -run 'Rscript ./omsi_answer2.R' (R code answer, 30 points.) Consider the class enrollment example (Sec. 7.21, p.156.) Suppose the demand has a Poisson distribution with lambda = 28.8. What would be the probability that the demand is at least 30? print( ) QUESTION -ext .R -run 'Rscript ./omsi_answer3.R' (R code answer, 40 points.) Consider the example at the bottom of (Sec. 11.2.1., p.209) Let G denote the inverse of the cdf of Xbar. Find G(2/3). G <- print(G)