Problem 8 (extra credit 15 points) For difficult decisions B. Busyness, a CEO of a Fortune 500 company, relies on ex- pert consultants from the ABCD consulting group. ABCD offers an appropriate consultant out of its H = 2800 experts. (a) (10 points) Assume that difficult decisions need to be made in a random fashion independently and identically according to some distribution D. As- sume that ABCD's HR department can find and select an expert consultant out of H who has made a decision that left the company they were consult- ing for happy for the last m= 200 times ABCD was hired for the job. Give a bound on the chances that this consultant suggests a decision that will leave B. Busyness unhappy as a result. What is the value of the bound with 95% confidence? (b) (10 points) Assume now that the HR department can find a consultant out of H who made profitable advice for all but m' = 20 of the last m = 200 times they were hired. What is the value of the new bound? Problem 8 (extra credit 15 points) For difficult decisions B. Busyness, a CEO of a Fortune 500 company, relies on ex- pert consultants from the ABCD consulting group. ABCD offers an appropriate consultant out of its H = 2800 experts. (a) (10 points) Assume that difficult decisions need to be made in a random fashion independently and identically according to some distribution D. As- sume that ABCD's HR department can find and select an expert consultant out of H who has made a decision that left the company they were consult- ing for happy for the last m= 200 times ABCD was hired for the job. Give a bound on the chances that this consultant suggests a decision that will leave B. Busyness unhappy as a result. What is the value of the bound with 95% confidence? (b) (10 points) Assume now that the HR department can find a consultant out of H who made profitable advice for all but m' = 20 of the last m = 200 times they were hired. What is the value of the new bound