What is the expected number of hookups a given individual has at once?

There are n people signed up for a dating website.  For every pair of people, the website independently flips a coin that comes up head with probability p. If the coin comes up heads, the website creates a match between this pair of people. (Being a scam, the site does not actually use any specific information about the people in deciding who to hook up.) In this setting, it is perfectly possible that the website randomly creates a love triangle:

three people who are all mutually hooked up.

  1. What is the expected number of hookups a given individual has at once?
  2. What is the probability that a given individual has more than one hookup?
  3. What is the expected number of love triangles on the entire site?

 

Explain the difference between a stop and an arrest.

I have two topics to choose from

Topic #1:

Explain at what point a person is considered “Under Arrest”. Explain the difference between a stop and an arrest. Why might states authorize probable cause for certain unwitnessed misdemeanors? How much force can be used by an officer when executing an arrest? How is it determineddetermined? Can you think of any times when you heard about “excessive use of force” and if so, how do you think the actions of a few influenced the perceptions of many regarding the police?

or,

Topic #2:

Considering the USA Patriot Act, do you think Americans could could ever sacrifice too many rights in exchange for national security? What does the Patriot Act allow the government to do that might give you pause concerning your privacy? Do you believe that most people know what is in the Patriot Act concerning their individual liberties? If you decided to protest the government anyway, do you think some of these concerns over the Patriot Act’s reach could impact you?

DIRECTIONS:

1. Grading will be tied to comprehension, depth, source reliance, APA, grammer, spelling, completeness and scope.

2. In crafting your answer, you will provide concepts and ideas culled from the text. You should define your terms.

3. Cite using APA formate. There is no required length of this paper, however, it must be comprehensive and fulfill the above requirements. your paper will process through Turnitin, plagiarism detection service.

Given a computer network with 60 switching nodes. If one node has failed, in how many ways can seven nodes be selected without encountering the failed node

  • Given a computer network with 60 switching nodes. If one node has failed, in how many ways can seven nodes be selected without encountering the failed node
    1. Explain why
    2. C(n, n-1) = C(n, 1).
    1. A cheese shop carries a large stock of 34 kinds of cheese. By the end of the day, 48 sales have been made, and the items sold must be restocked. How many different restocking orders are possible?

Considering the USA Patriot Act, do you think Americans could could ever sacrifice too many rights in exchange for national security?

Post 1:

Considering the USA Patriot Act, do you think Americans could could ever sacrifice too many rights in exchange for national security? What does the Patriot Act allow the government to do that might give you pause concerning your privacy? Do you believe that most people know what is in the Patriot Act concerning their individual liberties? If you decided to protest the government anyway, do you think some of these concerns over the Patriot Act’s reach could impact you?

After reading the article A Tapestry of Browns and Greens located in Doc Sharing, write a paper summarizing, agreeing, disagreeing, responding to, or reflecting your personal thoughts and observations about the article.

After reading the article A Tapestry of Browns and Greens located in Doc Sharing, write a paper summarizing, agreeing, disagreeing, responding to, or reflecting your personal thoughts and observations about the article. The paper must be double spaced, minimum two pages in length, and in APA format.

Explain at what point a person is considered “Under Arrest”. Explain the difference between a stop and an arrest. Why might states authorize probable cause for certain unwitnessed misdemeanors? How much force can be used by an officer when executing an arrest? How is it determineddetermined? Can you think of any times when you heard about “excessive use of force” and if so, how do you think the actions of a few influenced the perceptions of many regarding the police?

If you buy a British bond, how many calls do you have to buy or sell to construct a risk-free hedge portfolio?

. Consider a call option on the British pound (BP) which represents the right to purchase £1,000 at the strike price of $1.30 per £. The option will expire in one year. The current spot rate is $1.32 per £. In the future, the spot rate may become $1.40 or $1.50 per £. The annual risk-free interest rate is 6.0% in the US and 5% in the UK. A pure-discount British bond, that will pay £1,000 on the maturity date, is selling for £952.38 now.

(a) If you buy a British bond, how many calls do you have to buy or sell to construct a risk-free hedge portfolio? What is the future dollar value of the hedge portfolio? (b) What is the fair price of this call option? (c) Suppose the call is trading for $20 per contract. Show how you can realize arbitrage profit and determine the profit. Assume you buy or sell one unit of British bond.