If a student attends every management science class, the probability of passing the course is 0.80; but if the student only attends randomly, then the probability of passing the course is 0.50. if a student fails, they can take a makeup test where the probability of passing is 0.60 if the student has attended every class. this probability of passing the makeup test drops to 0.10 if the student has attended at random. passing the course is worth 5 credits. full time attendance "costs" 3 credits in terms of energy and time whereas random attendance "costs" only 1 credit. use a decision tree to decide which is the best attendance pattern to adopt.

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court. the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court. because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located. because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center. because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.