Two players receives a ticket t each on which there is a number in [0, 1]. The number on a player's ticket is the size of aprize that he may receive. The two prizes are identically and independently distributed according to a uniformdistribution. Each player is asked independently and simultaneously whether he wants to exchange his prize for theother player's prize. If both players agree then the prizes are exchanged; otherwise each player receives his own prize.Find the Bayesian Nash equilibrium of this game.

The objective of this question is to find the Bayesian Nash equilibrium of a game where two players…

Answered: Two players receives a ticket t each on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following crosstabulation summarizes the data for two categorical variables, x and y. The variable can take on values Low, Medium, or High and the variable y can take on values Yes or No. Yes No Total Low 39 31 70 Medium 25 11 36 High 12 2 14 Total 76 44 120 a. Compute the row percentages (to 2 decimals). Yes No Total Low Medium High
A family consisting of three people-P₁, P2, and P3-belongs to a medical clinic that always has a physician at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic exactly once and is randomly assigned to a station. One experimental outcome is (1, 2, 1), which means that P₁ is assigned to station 1, P₂ to station 2, and P3 to station 1. Using the outcomes for the chance experiment, identify outcomes in each of the following events. Let A be the event that all three people go to the same station, B be the event that all three people go to different stations, and C be the event that no one goes to station 3. (a) BC BC = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 3, 1), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 1, 1), (3, 1, 3), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3)} {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1),…
A teacher believes that students who study more than four hours for her tests will do better than students who do not study for her tests. To test this belief, the teacher recruited 16 students and randomly assigned them to two groups: G1: a group of n1=8 students that studied more than four hours for her test, and G2: a group of n2=8 students that did not study for her test. The following are the data from G1, who studied more than four hours for the test: n1=8 M1=85 s1=5 (this is the standard deviation of the sample, dividing the sum of squares by n1) The following are the data from G2, who did not study for the test: n2=8 M2=75 s2=4 (this is the standard deviation of the sample, dividing the sum of squares by n2) Perform a t-test by answering the questions below. Use an alpha-level of α=.05. 0. Using formulas from Section 4, compute the estimates of the population variances, est. σ12 and est. σ22 (from s1 and s2 above). 1. What is the research…
A manufacture of flash drives for data storage operates a production facility that runs on three 8-hour shifts per day. The following contingency table shows the number of flash drives that were defective and not defective from each shift. Shift Defective Not Defective 7AM – 3PM 7 113 3PM – 11PM 10 90 11PM – 7AM 4 76 Perform a hypothesis test to determine if the quality of the flash drive production and the production shift are independent variables using a = 0.05.
Suppose a person is thinking about entering a MarioKart competition at theirlocal videogame store. The competition costs 20 dollars to enter. The competition consists of 10 matches. The person knows that their chance of winning each match is 65% and that each match is independent of the others. The payout for the competition is: WIN ALL 10 Matches: 500 Dollar Prize WIN 9 Matches: 250 Dollar PrizeWIN 8 Matches: 50 Dollar Prize OTHERWISE: Nothing 1) Suppose that this person enters the competition 5 times.What is the probability they break even?(Hint: To break even they would need to win the $50 prize twice and lose the other three times. Use a modified binomial to calculate this probability.)
A researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) O dependent samples t test one sample t test independent samples t test X 97.3 m S = 9.0 m Based on the information provided above, which statistical test seems most appropriate? z test No music group (nm) X = 93.1 nm S nm = 10.0
The next two questions go together. You cross true-breeding lines of tall, purple-flowered pea plants with short, white-flowered pea plants and find that all the F₁ offspring are tall and purple-flowered. When an F₁ is self-pollinated, you get 109 tall, purple: 19 tall, white: 22 short, purple: 10 short, white plants. Your null hypothesis is that the offspring fit a model of two independently-assorting loci, with tall dominant to short and purple dominant to white, and that deviations from the 9:3:3:1 ratio are due to chance. Fill out the table to calculate the x2 value for the data. For the last column, where decimals are involved, write your answer to one decimal point (e.g. 5.2). Phenotype Observed Expected o-e (o-e)² Tall, purple (o-e)²/e 109 Tall, white 19 Short, 22 purple Short, 10 white Total 160 160 How many degrees of freedom are there? [Select] What is the appropriate critical value of the x2 statistic at p=0.05? [Select] What is the p-value range (for example 0.5-0.1 or…
A researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X 97.3 m s = 9.0 m Which of the following values is the value of the test statistic in this analysis? 1.49 2.00 4.41 2.10 No music group (nm) X = 93.1 nm S nm = 10.0
A doctor is trying to decide if a patient has one of three diseases d1, d2, or d3. Two tests are to be carried out, each of which results in a positive (P) or a negative (N) outcome. There are four possible test patterns PP, PN, NP, and NN. National records have indicated that, for 10,000 people having one of these three diseases, the distribution of diseases, and test results are as shown below: Please find the image below What is the probability that a randomly selected patient has the 2nd disease d2? What is the probability that a randomly selected patient has a test result of NP? If a randomly selected patient gets a test result of NP, what is the probability that the patient has the third disease d3?
Researchers are interested in whether the presence of another person influences one’s level of self-reported stress when performing a public speaking tasks. Participants performed the public speaking task on three different occasions. Once in the presence of a friend who provided support, another time in the presence of a stranger who provided support, and a third time alone, without any support
7 and 8 please

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