Four couples go to dinner together. The waiter seats the men randomly on one side of...

Four couples go to dinner together. The waiter seats the men randomly on one side of the table and

the women randomly on the other side of the table. Find the expected value and variance of the

number of couples who are seated across from each other.

Please help without using equation that has 1/x! and (-1)^k/k

Thanks!

Expert Solution

orchestra answered 2 years ago

four married couples went to the concert together. They bought tickets for eight adjacent seats in...

four married couples went to the concert together. They bought tickets for eight adjacent seats in a row. They went inside and sat at random at these seats. what is the probability that Mr.and Mrs. Wilson do not sit next to each other

Problem from Hamilton Cycle Chapter: "Four married couples met at a restaurant for dinner every Friday...

Problem from Hamilton Cycle Chapter: "Four married couples met at a restaurant for dinner every Friday night for three weeks. Sometimes a large table was available to accommodate all 8 people, but other times the group had to be divided across two smaller tables each with at least 3 seats. Nobody moved to a different seat during a meal, no married couple ever sat next to one another, and no two people sat next to one another for more than...

A railway carriage has 4 seats on each side. In how many ways can 6 men...

A railway carriage has 4 seats on each side. In how many ways can 6 men and 2 women sit if (a) the women sit opposite each other (b) the women do not sit next to each other?

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly...

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly selected. a. What is more likely, finding three men and one woman or two men and two women? _The probabilities of finding three men and one woman and two men and two women are the same. _Finding two men and two women are more likely. _Finding three men and one woman is more likely. b. Do you obtain the same answer as in part...

Stable matching: Determine a list of preferences for four men and four women where one proposer...

Stable matching: Determine a list of preferences for four men and four women where one proposer receives his or her lowest-ranked choice, and the rest of the proposers receive their penultimate choice. (please show how)

6 women and 7 men were randomly divided into two groups, with 9 individuals in one...

6 women and 7 men were randomly divided into two groups, with 9 individuals in one group and 4 individuals in the other group. a) Calculate the probability that there will be at least two women in each of the groups. b）Calculate the probability that there are at least five men in the 9-person group, if we know that there is at least one women in the 4-person group. c) Calculate the expected value of the number of women in...

Healthy men aged 21 to 35 were randomly assigned to one of two groups: half received...

Healthy men aged 21 to 35 were randomly assigned to one of two groups: half received 0.82 grams of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy's War and Peace (beginning at chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes participants were prompted to indicate whether they were "zoning out." The proportion of times participants indicated...

(21.28) Healthy men aged 21 to 35 were randomly assigned to one of two groups: half...

(21.28) Healthy men aged 21 to 35 were randomly assigned to one of two groups: half received 0.82 grams of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy's War and Peace (beginning at chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes participants were prompted to indicate whether they were "zoning out." The proportion of times participants...

"The Drunkard’s Walk. A drunkard in a grid of streets randomly picks one of four directions...

"The Drunkard’s Walk. A drunkard in a grid of streets randomly picks one of four directions and stumbles to the next intersection, then again randomly picks one of four directions, and so on. You might think that on average the drunkard doesn’t move very far because the choices cancel each other out, but that is actually not the case." for java 1.7

1. A box contains four red, five blue, and eleven green lenses. One lens is randomly...

1. A box contains four red, five blue, and eleven green lenses. One lens is randomly selected from the box. is the probability that the selected lens is blue. 2. A box contains nine red, five yellow, and six green lenses. One lens is randomly selected from the box. Find the probability that the selected lens is yellow or green. 3. An unprepared student makes random guesses for the three true-false questions on a quiz. Find the probability that there...

Question