In a matching events of 100 ladies and 100 gentlemen, each person get to pick one...
In a matching events of 100 ladies and 100 gentlemen, each person get to pick one name from the opposite sex. A matching is successful if two people pick each others name. Let X be the number of successful matches. Calculate the expectation and the variance of X.
Homework Answers
Add Answer to:
In a matching events of 100 ladies and 100 gentlemen, each
person get to pick one...
3) 100 people are all wearing name tags, and no two people share the same name....
3) 100 people are all wearing name tags, and no two people share the same name. They decide to randomly permute their name tags. We will compute the expected number of people who get their name tag back, as well as the variance a) Let X be the indicator random variable for the it person getting their original name tag back. Find EX and E equal to j separately) consider the cases i and i not b) Let X be...
Suppose that we go sequentially through a group of people asking each in turn to pick...
Suppose that we go sequentially through a group of people asking each in turn to pick one of 5 options (e.g., "rock," "paper," "scissors," "fire," or "water") at random. Let Xi (for 0 ? i ? 4) be the random variable giving the number of additional people we have to ask before getting an option that has not been picked yet. (So X0 is the number of people we have to ask to get the first option, which will be...
Imagine a room containing fourteen people, whose ages are as follows: one person aged 14, one person aged 15, three people aged 16, two people aged 22, two people aged 24, five people aged 25 This ag...
Imagine a room containing fourteen people, whose ages are as follows: one person aged 14, one person aged 15, three people aged 16, two people aged 22, two people aged 24, five people aged 25 This age distribution is summarized in the following plot, where j is age, and N() is the number of people in the room that have age j (a) Write a formula for the probability that a random person from the room has age j (b)...
There are 5 companies, each sells a bond that will pay $20 in one month. For...
There are 5 companies, each sells a bond that will pay $20 in one month. For each company the bond costs $10. All of these companies have probability .01 of default, and whether one defaults is independent from whether any of the others default. a) Let X be the number of companies that default. What is the distribution of X? What is the expected value of X? What is the variance of X? b) Consider two portfolios. In portfolio I,...
There are 5 companies, each sells a bond that will pay $20 in one month. For...
There are 5 companies, each sells a bond that will pay $20 in one month. For each company the bond costs $10. All of these companies have probability .01 of default, and whether one defaults is independent from whether any of the others default. a) Let X be the number of companies that default. What is the distribution of X? What is the expected value of X? What is the variance of X? b) Consider two portfolios. In portfolio I,...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the table. 11 44 55 33 45 77 100 Pick a person randomly from the 100 people. Denote the event F "the person is female", and Y "Yes, the person smokes". Find the following conditional probabilities: a). P(Y) b). P(YIF) 5. Suppose you have two Bags, each contains 100 marbles: Bag 1 has 70 red and 30 blue marbles; Bag 2 has 60 red and...
4. Let X be the number of distinct birthdays in a group of 100 people. In...
4. Let X be the number of distinct birthdays in a group of 100 people. In a webwork, you found the expected value of x. You should now find its variance (assuming each person was born on any of 365 days equally likely, and independently from any other person).
Which are paired designs and which are two independent random sample designs? For each #, it's...
Which are paired designs and which are two independent random sample designs? For each #, it's one or the other... #1 (a) Study of shopping at Wal-Mart. Study is on whether more go in non-grocery door than the grocery door? Study is done by counting the number of people entering each door from 7-9pm every Monday for 2 months. (b) Study of shopping at Wal-Mart, but to collect data the number of people entering each door from 7-9pm on non-grocery...
Write a concurrent program to solve stable marriage problem using Akka with Java. Be sure to...
Write a concurrent program to solve stable marriage problem using Akka with Java. Be sure to explain your solution strategy Given n men and n women and a preference order of marriage from each one of them, how to marry these 2n bachelors such that their marriages are stable. A marriage is stable when both partners in a couple cannot find anyone else (higher in their priority list) available for marriage. In other words, a marriage is stable when every...
You are holding a party at home, and everyone is about to participate in the following...
You are holding a party at home, and everyone is about to participate in the following game. Each person will write their name on a card. All the cards will then be collected and randomly redistributed (one per person). If anyone gets back the card with their own name then all the cards will be collected and randomly distributed again, and this process will be repeated until no-one is holding the card with their own name. When everyone has a...
3) 100 people are all wearing name tags, and no two people share the same name. They decide to randomly permute their name tags. We will compute the expected number of people who get their name tag back, as well as the variance a) Let X be the indicator random variable for the it person getting their original name tag back. Find EX and E equal to j separately) consider the cases i and i not b) Let X be...
Imagine a room containing fourteen people, whose ages are as follows: one person aged 14, one person aged 15, three people aged 16, two people aged 22, two people aged 24, five people aged 25 This age distribution is summarized in the following plot, where j is age, and N() is the number of people in the room that have age j (a) Write a formula for the probability that a random person from the room has age j (b)...
4. The question, "Do you smoke?" was asked to 100 people. Results are shown in the table. 11 44 55 33 45 77 100 Pick a person randomly from the 100 people. Denote the event F "the person is female", and Y "Yes, the person smokes". Find the following conditional probabilities: a). P(Y) b). P(YIF) 5. Suppose you have two Bags, each contains 100 marbles: Bag 1 has 70 red and 30 blue marbles; Bag 2 has 60 red and...
4. Let X be the number of distinct birthdays in a group of 100 people. In a webwork, you found the expected value of x. You should now find its variance (assuming each person was born on any of 365 days equally likely, and independently from any other person).
Write a concurrent program to solve stable marriage problem using Akka with Java. Be sure to explain your solution strategy Given n men and n women and a preference order of marriage from each one of them, how to marry these 2n bachelors such that their marriages are stable. A marriage is stable when both partners in a couple cannot find anyone else (higher in their priority list) available for marriage. In other words, a marriage is stable when every...
Most questions answered within 3 hours.
-
A dragon biologist is setting up an experimental population of
1000 individuals. In dragons, pointy crests...
asked 7 minutes ago -
A uniform thin rod of length 0.851 m is hung from a horizontal
nail passing through...
asked 17 minutes ago -
A 747 has a cruising speed of 235 m/s at a height of 10,700
meters. The...
asked 25 minutes ago -
Part 3: Arrows
Write a python program that prompts the user for a number of
columns,...
asked 33 minutes ago -
Need help answering these questions!!
1. What economic concept do you find most interesting in
Macroeconomics?...
asked 37 minutes ago -
1. Nimbus, Inc. produces and sells brooms. This table shows the
relationship between the number of...
asked 40 minutes ago -
A gas occupies 200. mL in a piston. If the pressure of the
piston were decreased...
asked 57 minutes ago -
A fossil is found to have a 14C level of 71.0% compared to
living organisms. How...
asked 1 hour ago -
Many communist or socialist countries have a department that
addresses public health as well as the...
asked 1 hour ago -
the following questions are either true or false answers
1. The Central Limit Theorem allows one...
asked 1 hour ago -
The patient recovery time from a particular surgical procedure
is normally distributed with a mean of...
asked 1 hour ago -
Human relations refer to the way a company arranges people,
jobs, and communications so that work...
asked 1 hour ago