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
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
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...

See similar textbooks

Similar questions

If I $6 to play a spinner game and the chances of winning $1 dollar is 50% and the chances of winning $12 is 50%. What is the fair price of the game?
In a board game, you must roll two 6 sided number cubes. You can only start the game if you roll a 3 at least one of the number cubes. A) Make a list of all the different possible outcomes when two number cubes are rolled. B) What fraction of the possible outcomes is favorable? C) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain.
In a game, two coins are tossed. If either of the coins comes up heads, you have won a prize. To claim the prize, you must point to one of your coins that is a head and say 'look, that coin's a head, I've won'. You watch Fred play the game. He tosses the two coins, and he points to a coin and says 'look, that coin's a head, I've won'. What is the probability that the other coin is a head?
5. Divide and conquer. You're again facing your friend, Brenda, in a "candy-off” game involving a pile of 100 caramels and the winner's prize: one peppermint patty. (Like before, you still LOVE peppermint patties!). On their turn, each player can remove a
You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent
Consider the game of Let’s Make a Deal in which there are three doors (numbered 1, 2, 3), one of which has a car behind it and two of which are empty (have “prizes”). You initially select Door 1, then, before it is opened, Monty Hall tells you that Door 3 is empty (has a prize). You are then given the option to switch your selection from Door 1 to the unopened Door 2.
At a back-to-school party, one of your friends lets you play a two-stage game where you pay $3 to play. The game works as follows: flip a fair coin, noting the side showing, and roll a fair standard 4-sided die (numbered 1–4), noting the number showing. If the die shows a 3 and the coin shows tails, then you win $22. If the coin shows heads and the die shows an even number, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent.
A bag contains 16 red coins, 8 blue coins, and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair?
Toward the end of a game of Scrabble you hold the letters D,O,G and Q. You can choose three of these four letters and arrange them in order in how many different ways?
In the board game Clue, the object of the game is to determine the which character is the murderer, whichweapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestickin the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomesare possible?