10 couples go to a square dance. Once there, the 20 people are randomly paired up, forming 10 new pairs. What is the expected number of people who are paired with the person with whom they arrived?

10 couples go to a square dance. Once there, the 20 people are randomly paired up,...
Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.877 and the equation of the regression line is y=8.99 + 0.93x, where x represents the IQ score of the husband. Also, the 20x values have a mean of 93.26 and the 20 y values have a mean of 96.15. What is the best predicted IQ of the wife, given that the husband has an IQ of 103? Use a...
Each of n people (whom we label 1, 2, . . . , n) are randomly and independently assigned a number from the set {1, 2, 3, . . . , 365} according to the uniform distribution. We will call this number their birthday. Let j and k be distinct labels (between 1 and n) and let Ajk denote the event that the corresponding people share a birthday. Let Xjk denote the indicator random variable associated to Ajk. (1) Are...
6) At a restaurant, fifteen couples are seated at a large round table with thirty seats. Before the couples arrive, the waiter puts a card on each plate with the name of one person on it. Assume that the cards are placed randomly (with no attention to a person's gender or which person is a partner of which other person); that is, al rearrangements of the name cards are equally likely. What is the expected value of the number of...
6) At a restaurant, fifteen couples are seated at a large round table with thirty seats. Before the couples arrive, the waiter puts a card on each plate with the name of one person on it. Assume that the cards are placed randomly (with no attention to a person's gender or which person is a partner of which other person); that is, all rearrangements of the name cards are equally likely. What is the expected value of the number of...
Suppose 1Q scores were oblained from randomly sekected couples For 20 such pairs of people, the inear correlation coeficent is 0 893 and the equation of the rogression line s y-524 108x, where x represents the 1Q score of the husband Also, the 20 x values have a mean of 98 72 and the 20 y values have a mean of 101 85 What is the best predicted 1Q of the wile, given that the husband has an IQ of...
1. You are in a group of 20 people that all go out to eat at a nice restaurant. The group has a choice of either simply splitting the bill equally or going through the hassle of each person paying for their individual meal. Will the average cost per meal be the same regardless of which strategy is employed? Explain. 2. Four roommates are thinking about hiring a $100 / week cleaning service. The roommates value this weekly service differently...
Suppose IQ scores were obtained from randomly selected couples.
For 20 such pairs of people, the linear correlation coefficient is
0.877 and the equation of the regression line is y= -14.38 +
1.14x, where x represents the IQ score of the wife. Also, the 20x
values have a mean of 105.21 and the 20y values have a mean of
105.1. What is the best predicted IQ of the husband, given that
the wife has an IQ of 91? Use a...
2) You go to the shoe store and are looking for new running shoes. At the store you find out that they have 32 different pairs of shoes that would fit you. If 12 of those are Nike’s, and 10 are Reebok, what is the probability if you choose randomly that you would get a shoe that is made by Nike or Reebok? Please set up (i.e P(Nike)) and show all steps of the question, not just the answer. 3)...
A new drug has been found to be effective in treating 50% of the people afflicted by a certain disease. If the drug is administered to 800 people who have this disease, what is the standard deviation of the number of people for whom the drug can be expected to be effective? 9. 10. Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. P(0.3 <Z1.85) 0.3 1.85
The probability of owning a cat is 20% in some population. For 10 randomly chosen people, what is the probability that exactly 5 own a cat but in any order of selection. Give your answer as 0.XX.