1.Help from TAs: You derided to ask one of the TAs for help, outside their a pp ointed hours.Due to their extreme workloa d, they have no choice but to refuse. So you cha llenge him /her to a simplegame: if you win, (s)he will answer. There are 5 cards, labelled 1,2,3, 4,5 face down. The game is that yourandomly take 2 cards away and the number you have to guess is the sum of the ot her 3 cards. If you takeaway 4 and 5. The number to guess is 1+2+3 = 6, The aim of the game is that you guess the numberclos est to the s um. Whoever is closest wins. You decide to model the consequences of this game by therandom variable U, where U is the number to guess.(aas an exa mple.Fill the sample space, Marking X, where an outcome can not ha ppen. The case (4,5) is filled(b)of PMF or make your own PMF (On paper is fine).Draw the Proba bility Mass Func tion of U, you can adjust the latex code given as an example(c)Find E(U) and Varia nce of U.(d)What mumber should you choose and why?XXXX3XX211231/16-2 -1 0 1 2

Name: 1.Help from TAs: You derided to ask one of the TAs for help, outside
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Description: 1.Help from TAs: You derided to ask one of the TAs for help, outside their a pp ointed hours.Due to their extreme workloa d, they have no choice but to refuse. So you cha llenge him /her to a simplegame: if you win, (s)he will answer. There are 5 ca

(a). The random variable U is the value of sum of three cards which will be left after drawing two…

Math

Probability

1. Due to their extreme workloa d, they have no choice but to refuse. So you cha llenge him /her to a simple game: if you win, (s)he will answer. There are 5 cards, labelled 1,2, 3, 4, 5 face down. The game is that you randomly take 2 cards away and the number you have to guess in the sum of the ot her 3 cards. If you take away 4 and 5. The number to gOss is 1+2+3 = 6, The aim of the game is that you guess the number clos est to the sun. Whoever is clo sest wins. You decide to model the consequeneeN of this game by the random variable U, where U is the mumber to guess. Help from TAs: You derided to ask one of the TAs for help, outside thir a ppointed hours. Fill the sample space, Marking X, where an outco me can not ha ppen. The case (4,5) is filled (a AN An eXA mple. (b) of PMF or make your own PMF (On paper is fine). Draw the Proba bility Mass Func tion of U, you can adjust the latex code given as an example (*) Find E(U) a nd Varia nee of U. (d) What mumber sho uld you cho ose and why? 5 X X X X X X X X 3 X X X X X X X X X 2 -2 -1 0 1 2

1. Due to their extreme workloa d, they have no choice but to refuse. So you cha llenge him /her to a simple game: if you win, (s)he will answer. There are 5 cards, labelled 1,2, 3, 4, 5 face down. The game is that you randomly take 2 cards away and the number you have to guess in the sum of the ot her 3 cards. If you take away 4 and 5. The number to gOss is 1+2+3 = 6, The aim of the game is that you guess the number clos est to the sun. Whoever is clo sest wins. You decide to model the consequeneeN of this game by the random variable U, where U is the mumber to guess. Help from TAs: You derided to ask one of the TAs for help, outside thir a ppointed hours. Fill the sample space, Marking X, where an outco me can not ha ppen. The case (4,5) is filled (a AN An eXA mple. (b) of PMF or make your own PMF (On paper is fine). Draw the Proba bility Mass Func tion of U, you can adjust the latex code given as an example (*) Find E(U) a nd Varia nee of U. (d) What mumber sho uld you cho ose and why? 5 X X X X X X X X 3 X X X X X X X X X 2 -2 -1 0 1 2

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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Question

1.
Help from TAs: You derided to ask one of the TAs for help, outside their a pp ointed hours.
Due to their extreme workloa d, they have no choice but to refuse. So you cha llenge him /her to a simple
game: if you win, (s)he will answer. There are 5 cards, labelled 1,2,3, 4,5 face down. The game is that you
randomly take 2 cards away and the number you have to guess is the sum of the ot her 3 cards. If you take
away 4 and 5. The number to guess is 1+2+3 = 6, The aim of the game is that you guess the number
clos est to the s um. Whoever is closest wins. You decide to model the consequences of this game by the
random variable U, where U is the number to guess.
(a
as an exa mple.
Fill the sample space, Marking X, where an outcome can not ha ppen. The case (4,5) is filled
(b)
of PMF or make your own PMF (On paper is fine).
Draw the Proba bility Mass Func tion of U, you can adjust the latex code given as an example
(c)
Find E(U) and Varia nce of U.
(d)
What mumber should you choose and why?
X
X
X
X
3
X
X
2
1
1
2
3
1/16
-2 -1 0 1 2

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