Question

10 couples go to a party (So 20 people in total). Each of the 20 people...

10 couples go to a party (So 20 people in total). Each of the 20 people are randomly seated at a large round table with 20 chairs. Let Xi = 1, for i = 1, 2, . . . , 20, if the i th person is sitting next to the other person in their couple, and 0 otherwise. Let Y be the total number of people who are seated next to their partner. (Note that the Xi ’s all have the same distribution, but are not independent.)

(a) What is E[Xi ]?

(b) What is E[Y ]?

(c) What is Var[Xi ]?

(d) What is E[XiXj ], if the i th person and j th person are in the same couple?

(e) What is E[XiXj ], if the i th person and j th person are not in the same couple?

(f) What is Var[Y ]?

Homework Answers

Answer #1

----------------------------

DEAR STUDENT,

IF YOU HAVE ANY QUERY ASK ME IN THE COMMENT BOX,I AM HERE TO HELPS YOU.PLEASE GIVE ME POSITIVE RATINGS

*****************THANK YOU***************

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Suppose that the 10 people of 5 married couples (with each couple consisting of one...
1) Suppose that the 10 people of 5 married couples (with each couple consisting of one husband and one wife) will be randomly seated at a round table having 10 chairs. Letting X be the number of wives who will be seated next to their husband, give the value of E(X).
Six married couples (twelve people in total) are to be seated around a circular table. Since...
Six married couples (twelve people in total) are to be seated around a circular table. Since the table is circular, two seating arrangements are considered the same if one is a rotation of the other. If each of the twelve people randomly chooses a seat, what is the probability that each member of a married couple sits next to the other member?
The dorm in which you live houses 2% of the total student population. You know 40%...
The dorm in which you live houses 2% of the total student population. You know 40% of the students living in your dorm, but you know only 5% of the rest of the population. A lot of students (including yourself) go to a party, and you are seated at a table with 3 other people. The number of people is very large, so you can assume that the events of knowing different people at the party are independent. a. For...
2. (20 pts) Suppose you are in line at Costco and there are 100 people in...
2. (20 pts) Suppose you are in line at Costco and there are 100 people in front of you. Assume that the time it takes each person in front of you to be served follows an Exponential distribution with expected value 4 (ignore units). Let X be the total time you wait for all 100 people in front of you to be served. (a) (2 pts) What is E[X]? (b) (2 pts) What is Var(X)? (c) (4 pts) What is...
R Code Directions: All work has to be your own, you may not work in groups....
R Code Directions: All work has to be your own, you may not work in groups. Show all work. Submit your solutions in a pdf document on Moodle. Include your R code (which must be commented and properly indented) in the pdf file. Name this pdf file ‘your last name’-HW5.pdf. Also submit one text file with your R code, which must be commented and properly indented. You may only use ‘runif’ to generate random numbers; other random number generating functions...
Consider the following game played between 100 people. Each person i chooses a number si between...
Consider the following game played between 100 people. Each person i chooses a number si between 20 and 60 (inclusive). Let a-i be defined as the average selection of the players other than player i ; that is, a-i = summation (j not equal to i) of sj all divided by 99. Player I’s payoff is ui(s) = 100 – (si – (3/2)a-i)2 For instance, if the average of the –i players’ choices is 40 and player i chose 56,...
6.) Assume that 15% of the people in your expedition trip own a mobile phone, and...
6.) Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly assigned to two partners in your group. Find the probability that: a) The first partner will have a mobile phone b) The first partner will not have a mobile phone c) That both partners have a mobile phone d) That at most one will have a mobile phone 7.) The following contingency table shows U.S. Adults, broken down by political party...
Exercise 12.1: Empowerment Profile Step 1 Complete the following questionnaire. For each of the following items,...
Exercise 12.1: Empowerment Profile Step 1 Complete the following questionnaire. For each of the following items, select the alternative with which you feel more comfortable. While for some items you may feel that both (a) and (b) describe you or neither is ever applicable, you should select the alternative that better describes you most of the time. When I have to give a talk or write a paper, I . . . ________ Base the content of my talk or...
1.A fair die is rolled once, and the number score is noted. Let the random variable...
1.A fair die is rolled once, and the number score is noted. Let the random variable X be twice this score. Define the variable Y to be zero if an odd number appears and X otherwise. By finding the probability mass function in each case, find the expectation of the following random variables: Please answer to 3 decimal places. Part a)X Part b)Y Part c)X+Y Part d)XY ——- 2.To examine the effectiveness of its four annual advertising promotions, a mail...
Read the case and answer the following Multiple choice questions. There are 5 questions total, where...
Read the case and answer the following Multiple choice questions. There are 5 questions total, where some of them might have more than one correct answers. You can choose more than one options where you think is suitable for the above question. PERFORMANCE MANAGEMENT Project Manager Oliver Caine skimmed his notes as he waited for Ben Robins to come to the meeting room. He hoped Ben would arrive soon, as he wanted to get the con-versation finished quickly. Ben walked...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...
    asked 5 minutes ago
  • what type of graph is best suitable for data obtained from customer ratings. The ratings are...
    asked 9 minutes ago
  • Determine the cumulative 15-year 18 kip ESAL’s in the design lane for 2-lane highway for the...
    asked 16 minutes ago
  • Q: Dr.Grimace, the evil dentist, is trying to find out if his patients suffer from periodontal...
    asked 16 minutes ago
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 18 minutes ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 19 minutes ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 19 minutes ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 20 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 20 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 26 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 29 minutes ago
  • How does the 95% confidence interval correspond to the reported conclusion at a 0.05 significance level?...
    asked 30 minutes ago