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].

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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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