LetXbe a discrete random variable with the following PMF:

P(X=x) =

0.3 for x = 1,

a for x = 2,

0.5 for x= 3,

0 otherwise

(a) Find the value of a.

(b) Find Fx(x), the CDF of X.

(c) What is the value of Fx(2)?

(d) Find E[X].

(e) FindE[X^2].

(f) Find V ar(X)

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A certain area of the eastern United States is, on average,hit by 2 hurricanes a year. Find the probability that the area will be hit byexactly 3 hurricanes in a given year.

Lakonishok Equipment has an investment opportunity in Europe. The project costs €11 million and is expected to produce cash flows of €3.6 million in year 1, €4.3 million in year 2, and €2.5 million in year 3. The current spot exchange rate is $1.25/€; the current risk-free rate in the United States is 4 percent, compared to that in Europe of 4.5 percent. The appropriate discount rate for the project is estimated to be 9 percent, the U.S. cost of capital for the company. In addition, the subsidiary can be sold at the end of three years for an estimated €7.9 million. What is the NPV of the project?

According to the Center for Disease Control (CDC), the percent of adults 20 years of age and over in the United States who are overweight is 69%. One city’s council wants to know if the proportion of overweight citizens in their city is different from this known national proportion. They take a random sample of 150 adults 20 years of age or older in their city and find that 98 are classified as overweight. At the 4% level of significance, test the original claim. Apply two-sided test, and give all six steps of the procedure clearly. Finally interpret the conclusion in terms of the example

TCO C) The events of September 11, 2001, brought about a heightened sense of security concerns in the United States. From a public policy standpoint, over the past decade or so, this has brought about changes in spending patterns by the federal government, arguably a trade-off with privacy rights, the creation of a new executive level department, and shifts in many industries, including the airlines. List at least three stakeholders in this new policy environment of the emphasis on security matters, and explain why each such group may be affected by the changes we've seen.

Do you think current US welfare programs reduce incentives for recipients to work?

What types of restrictions should be placed on those receiving public support, such as food stamps, unemployment benefits, Medicare/Medicaid, and Social Security?

What would the impacts be on children of low income families or elderly retired workers? How should these programs be funded?

Do you think the United States should continue to have a private health insurance system or move to a single payer system, such as Medicare for all? What are the costs and benefits of each type?

The Patient Protection and Affordable Care Act of 2010 (ACA) and the Medicare Access and CHIP Reauthorization Act of 2015 (MACRA) changed the way that healthcare providers are reimbursed in the United States. Both laws attempt to move from a volume-based reimbursement method to a quality-based reimbursement method. For this discussion forum, select one of the two laws and discuss some key points of how the law you selected has changed reimbursement. Consider discussing if we have seen improvements in quality and decreased costs in healthcare since the implementation of the laws.

HC

26. After termination of a bankruptcy case, creditors cannot make a claim against the debtor for money owed before the initial bankruptcy petition was filed.

True

False

27. One attribute of tenants in common is that ownership shares must all be of equal size.

True

False

28. Accountants check every transaction when auditing a company.

True

False

29. In the absence of a specific legal exception, an employee in the United States must be hired for a minimum of one year.

True

False

30. A bailment must involve a written agreement to be enforceable.

True

False

The heights (in centimeters) of some randomly selected Men's World Cup soccer players from both Europe and the U.S. are given in the table below.

Is there a difference between the heights of European and American soccer players?

Show all 5 steps, including critical value and p-value.

. Why do you think the Obama administration pursued a trade deal with Korea in 2012? What were the potential economic and political benefits? What were the potential costs?

2).Is there any evidence that the 2012 free trade deal between the United States and South Korea was a “job killer” as claimed by president Trump?

3). What were the motivations of the Trump administration in renegotiating the 2012 deal?

4). Who benefits from the revised (2018) deal? Who might lose? Does the 2018 deal represent an improvement over that ratified in 2012?