DESCRIPTION Please keep in mind the OMSI rules. Save your files often. Submit each answer individually and make sure you receive the notification of successful submission. Don't wait till the last moment to submit all answers, as there might be network traffic in the last 5 minutes causing unexpected delay and failure. 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 to add new lines. There may not be information given as to where the lines should be inserted. MAKE SURE TO RUN THE R CODE ANSWER IN PROBLEMS THAT INVOLVE R CODE! QUESTION (text answer - 25 pts) We discussed the talk given by an engineer from LinkedIn, where he had analyzed some of the firm's data. He found in his wonderment that all of the tests were significant. The problem is that the p-values were all significant because _____________. QUESTION -ext .R -run 'Rscript ./omsi_answer2.R' (R code answer - 25 pts) Consider the toy population consisting of the following (X,Y) pairs: (5,2),(2.1,10),(1,19.1),(5,12), (4,5). Print the value of m(5). QUESTION -ext .R -run 'Rscript ./omsi_answer3.R' (R code answer - 25 pts) Suppose W has a uniform distribution on (r,s). Evaluate both sides of Eqn. (8.9). unifmem <- function(r,s,t,u) { # t,u in (r,s) return(list(lhs=lhs,rhs=rhs) # left-hand and right-hand sides } print(unifmem(1,4,1.2,0.2) QUESTION -ext .R -run 'Rscript ./omsi_answer4.R' (R code answer - 25 pts) A random variable X has density f_X(t) = c t^{0.5} and support [1,4], where c is the normalizing constant. Write a function to compute the cdf F_X(t). cdf <- function(t) { } print(cdf(1.5))