4. The College of Engineering at Purdue University shows the following information from 2015 in the table below on its website. Assume that each student is in only one demographic group Purdue College of Engineering 2015 Student Status Demo ra hic Grou \"\"- Underrepresented \"\"- a) Complete the table with the row totals, column totals, and an overall total. b) What is the probability that a randomly chosen engineering student is an undergraduate and is an underrepresented minority (non-female)? Is this a marginal, conditional, orjoint probability? c) What is the probability that an engineering student is a graduate student? is this a marginal, conditional, orjoint probability? d) Among the undergraduates, what is the probability that a student is female? Is this a marginal, conditional, or joint probability? e) Write out the hypotheses for the ChiSquare (152) test of this data. f) Create a table of expected counts. g) Create a table of partial x2 values. h) What is the value of the x2 statistic? What are its degrees of freedom? i) Using significance level 0.05, state the conclusion of the Chi-Square (x2) test in the context of this problem. State your reasoning behind your conclusion