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es, are empty. Room 2 has 20 boxes in it, one of them has $20 in it and the other 19 are empty. Alice goes to room 1 and picks a box at random. Bob goes into room 2 and picks a box at random. Alice get X dollars, Bob gets Y dollars. Then which of the following is true? 1. E[X] E[Y] and Var[X] = Var[Y]. 2. E[X] = E[Y] and Var[X] = Var[Y]. 3. E[X]E[Y] and Var[X] < Var[Y]. 4. E[X] = E[Y] and Var[X] < Var[Y]. 5. E[X]E[Y] and Var[X] > Var[Y]. 6. E[X] = E[Y] and Var[X] > Var[Y].

es, are empty. Room 2 has 20 boxes in it, one of them has $20 in it and the other 19 are empty. Alice goes to room 1 and picks a box at random. Bob goes into room 2 and picks a box at random. Alice get X dollars, Bob gets Y dollars. Then which of the following is true? 1. E[X] E[Y] and Var[X] = Var[Y]. 2. E[X] = E[Y] and Var[X] = Var[Y]. 3. E[X]E[Y] and Var[X] < Var[Y]. 4. E[X] = E[Y] and Var[X] < Var[Y]. 5. E[X]E[Y] and Var[X] > Var[Y]. 6. E[X] = E[Y] and Var[X] > Var[Y].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are two rooms. Room 1 has 10 boxes, one of them has $10 in it and the other 9 are empty. Room 2 has 20 boxes in it, one of them has $20 in it and the other 19 are empty. Alice goes to room 1 and picks a box at random. Bob goes into room 2 and picks a box at random. Alice get X dollars, Bob gets Y dollars. Then which of the following is true? 1. E[X] # E[Y] and Var[X] = Var[Y]. 2. E[X] = E[Y] and Var[X] = Var[Y]. 3. E[X] E[Y] and Var[X] < Var[Y]. 4. E[X] = E[Y] and Var[X] < Var[Y]. 5. E[X]E[Y] and Var[X] > Var[Y]. 6. E[X] = E[Y] and Var[X] > Var[Y].
Transcribed Image Text:There are two rooms. Room 1 has 10 boxes, one of them has $10 in it and the other 9 are empty. Room 2 has 20 boxes in it, one of them has $20 in it and the other 19 are empty. Alice goes to room 1 and picks a box at random. Bob goes into room 2 and picks a box at random. Alice get X dollars, Bob gets Y dollars. Then which of the following is true? 1. E[X] # E[Y] and Var[X] = Var[Y]. 2. E[X] = E[Y] and Var[X] = Var[Y]. 3. E[X] E[Y] and Var[X] < Var[Y]. 4. E[X] = E[Y] and Var[X] < Var[Y]. 5. E[X]E[Y] and Var[X] > Var[Y]. 6. E[X] = E[Y] and Var[X] > Var[Y].
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