consider the following information. Suppose a policy school has 48 faculty members: 15 study only politics, 24 study only economics, and 9 study both politics and economics. The table below indicates seniority status (untenured or tenured) among these faculty by disciplinary area: Seniority Politics Economics Both Untenured 5 8 3 Tenured 10 16 6 Suppose this policy school requires you to sit for an oral exam at the end of the quarter and chooses a faculty member at random to examine you. Note that fortunately for you, this question is entirely hypothetical and not based in fact. 7. What is the probability your examiner studies only economics? [0.5pt] 8. What is the probability your examiner studies economics? [0.5pt] 9. What is the probability your examiner is untenured and studies only politics? [0.5pt] 10. Are untenured and tenured disjoint events? Briefly explain in one sentence. [0.5pt] 11. Suppose you learn from a reliable source that your grader is tenured. Is this informative as to their disciplinary area? Briefly explain and demonstrate why your answer is true by calculating the relevant probabilities. [1pt]