Supposc thcre arc 3 agonts i E(1, 2, 3} with preferences over 3 objects j Ela, b, c) as follows: 1: cba2:bca 3:bac Consider the random allocation given by the following probability shares: AgentGood a bci0.50 0.5 2 0.25 0.5 0.25 3 0.25 0.5 0.25 Is this allocation ordinally efficient? Is it ex-anteweakly envy-free? Be sure to explain how you arrived at your answer.

A random assignment is envy-free when the preference of agent does not have any partial…

Answered: Supposc thcrc arc 3 agcnts i E(1, 2, 3}…

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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2c)
The joint pmf of the random variables X, Y and Z is given in the table. Y 1 2 3 Z=1 X 1 2 3 .001 .002 .003 .006 .005 .004 .007 .008 a) Determine fx, (2, 2) b) Determine fx-1(2, 2) .009 Y 1 2 3 Z=2 1 .07 .08 .09 X 2 .06 .05 .04 3 .01 .02 .03 1 Y 2 3 Z = 3 1 .03 .02 .07 X 2 .01 .145 .06 3 .05 .04 .08
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ...E7 denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(E2) = 0.20, P(E3) = 0.20, P(E4) = 0.25, P(E5) = 0.15, P(E6) = 0.10, and P(E7) = .05. Let A = {E1, E4, E6}, B = {E2, E4, E7}, C = {E2, E3, E5, E7}a) Find the P(A), P(B) and P(C), write the answers on the space provided. b) Find B' and P(B')c) Find A U B and P(A U B)
Suppose that we have a sample space S = {E₁, E2, E3, E4, E5, E6, E7], where E₁, E2, ..., E7 denote the sample points. The following probability assignments apply: P(E₁) = 0.20, P(E₂) = 0.05, P(E3) = 0.20, P(E4) = 0.15, P(E5) = 0.25, P(E6) = 0.05, and P(E7) = 0.10. Let A = {E₁, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}. Find P(AC). 0.7000 0.6000 0.3000 0.5714 O 0.4000 Question 3
Exhibit 9-3. Simunons owna and operates a national chain of departaent stores. Simmons wati to send ao spenve sales catlog with a"0 off coupon onhy to those cuitomen who have a mfficimntly high probability of unng the coupon. Managtet dila the the decson should depend ce sl-al spendng at Simmona (S1000) and 1f the customer has a Simmons credit card O otherwise Aanaming 1if the customer uses the coupon o Otherwise nd B= Ply = 1) the logistic regression wan rum in Data Mining and the following ostput for the lopit In(- 1wobtaned 1-6 Coefficients Predictor Estimate 2.50 Intercept x1 0.33 x2 2.10 Refer to Exhibit 9.3. What is the estimated logistic fanction In )= - 2.,50+0.35×+2.1x2 = -2.50+0.35x+2.1x 1-6 <<2.50+0.33+2.) 1+e 0.33x2. 1+e
For RBD topology 1, the independent component working probabilities are P(A)0.83, P(B)-0.73, PIC)0.45, PID0.66, P(E0.83. What is the probability that the system will work? Your answer: O 0.382043 O 0.520173 O 0,436623 O 0.929271 O 0.903641 O 0.152346 O 0,952901 O 0728327
Example 2.3.8 Six dissimilar (distinguishable) balls are distributed at ran- dom into 3 boxes. Find the probability that these boxes contain 3, 2 and 1 balls respectively.
The records of a department store show that 20% of its customers who make a purchase return the merchandise to exchange it. In the next 6 purchases, what is the probability that none of the customers will return the merchandise for exchange? (CSLO 1,3,7) Edit Insert Format Table 12pt v Paragraph | B IU Aν # 2 V T² V | % Bo
3. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions
he joint pat of the random variable X and Yis iven in the below matrix. Find the mean value f X and Y: P(X,Y)= X 2.45 and 2.1 1.9 and 2.45 O 1.9 and 2.1 2.1 and 2.45 Y 0.05 0.05 0.1 0.05 0.1 0.35 0 0.2 0.1

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