1. Hank is an intelligent student and usually makes good grades, provided that he can review the course material the night befor
e the test. For tomorrow's test, Hank is faced with a small problem: His fraternity brothers are having an all-night party in which he would like to participate. Hank has three options: a1 - party all night: 2-divide the night equally between studying and partying: 3 - study all night. Tomorrow's exam can be easy (s1), moderate (S2) or tough (53), depending on the professor's unpredictable mood. Hank anticipates the following scores: S1 S2 S3
a1 85 60 40
a2 92 85 81
a3 100 88 82
(a) Recommend a course of action for Hank based on each of the four criteria of decisions under uncertainty.
(b) Suppose that Hank is more interested in the letter grade he will get. The dividing scores for the passing letter grades A to Dare 90, 80, 70 and 60, respectively. What should the decision/s be?
A) y= 58x + 24 Change x and y and solve for y x = 58y + 24 -24+x=58y +24-24 -24+x=58y (x-24)/58=58/58y (x-24)/58=y y=(x-24)/58 (just switched around with y in front)
b) Y=(x-24)/58 Y=(227-24)/58 (replaced x with 227) Y=(203)/58=3.5