Suppose you play a die rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is more than five, you win $8, otherwise you lose $2. Let X be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money.

Q: Would you play the game? Why or why not?

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Q: (i) Find his expected gain. (ii) How much should he pay to play the game if it is to be fair?

A: Two fair coin are tossed so Total 4 outcomes are possible  And outcome on second coin is independent…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As given, if you roll a six-sided die and roll 6 then you will win $11. if you roll 4 or 5 then you…

Q: You are playing a game in which a single die is rolled. If a 2 or a 5 come up, you win $60;…

A: We will make a probability distribution of the winning values outcome 1 2 3 4 5 6…

Q: Supposed a certain game is fair and costs $7 if you lose and has a net payoff of $10 if you win. The…

A: Supposed a certain game is fair and costs $7 if you lose and has a net payoff of $10 if you win.…

Q: You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $60;…

A: A single die is rolled. The probability of 2 or 5 = 2/6, that is, the probability of winning. The…

Q: In a game of cards, your opponent offers to give P40 if you draw an ace and P20 if you draw a face…

A: Given, In a game of cards, Opponent offers, p40 if we get ace, P20 if we get faces, To pay P10 if we…

Q: In a certain game, points you win are positive numbers and points you lose are negative numbers.…

A: Points you win are Positive numbers & Points you lose are Negative numbers. The given series is…

Q: Frank is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6.…

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Q: What is the average number of points you would expect to lose if you roll the die 60 times? b.…

A: Given : Number of times die is rolled =50 Lose a point if 1 is rolled

Q: If the ƞ2 in an experiment is 0.6, give any possible value of ω2.

A: Givenη2=0.6The percentage of variance in the dependent variable accounted by the independent…

Q: A pair of fair dice is rolled once. Suppose that you lose $10 if the dice sum to 4 and win $15 if…

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Q: Suppose you are going to Las Vegas to play Keno. Your favorite bet is a dollar on a single number.…

A: Given information: When you win, they give you the dollar back and two dollars more. When you lose,…

Q: Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,…

A: From the provided information, the probability that the names list is non authentic, is 40%. That is…

Q: The following game has no saddle point and is fair, find the possible values of 4 and 2,. -9 4 A, -7

A: The game has no saddle point if maxmin is not equal to minmax . The game is fair game if value of…

Q: Consider the following game with two dice (red and blue). The rules for the game are as follows:…

A: Given information: The game is conducted by rolling two dice.

Q: The probability of winning a lottery with one lottery ticket is the number of ways of winning, which…

A: Find the probability of winning a lottery with one lottery ticket: The probability of winning a…

Q: A casino offers the following game, which costs 10 dollars to play. Two cards are selected at…

A: Considering the provided information, if both of the cards are kings, then you win = 220+10-10 =…

Q: Consider the following game. You choose a number from 1 to 6 and pay $1 to roll three dice. If your…

A: Answer is given below:

Q: In a recent poll, 450 people were asked if they preferred cats or dogs. 52% said they preferred dogs…

A: Given data: n = 450  52% said they preferred dogs and 48% of people said they preferred cats, with a…

Q: The 3-card Thriller game costs $3 to play and involves a 3-card deck where: • one card has red on…

A: Given the experiment as a 3-card Thriller game.

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: a. The PDF table is completed as follows: X P(X) -6 0.5 5 0.3333 16 0.1667

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with other…

Q: Keiko is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

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Q: ten percent of adults say oatmeal is their favorite cookie. You randomly select 12 adults and aks…

A: Given that  Number of trials n=12 Success of probability p=0.10 X~binomial (n,p) nCx = n!/x!(n-x)!

Q: An unfair coin with heads 6 times as likely as tails is flipped four times. If X is the number of…

A: In this case, if the coin is tossed 4 times then the head occurs 6 times as likely as tails.

Q: A student takes a true-false test that has 6 questions and guesses randomly at each answer. Let X be…

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Q: Keisha is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through…

A: Here Keisha spins a spinner with 6 equal-sized slices numbered 1 through 6. Keisha wins $1 if the…

Q: A game consists of rolling a colored die with three blue sides, two red sides and one white side. A…

A: When a die is rolled there are 6 possible outcomes Blue,Blue,Blue,Red,Red,White. The probability of…

Q: In a recent poll, 360 people were asked if they preferred cats or dogs. 49% said they preferred dogs…

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Q: s. How much should the player pay to play if the game is fair?

A: Here given, In a game of chance using balls numbered 1 to 20, a player wins 150 php is the randomly…

Q: A game involves tossing a balanced coin three times. The coin is tossed independently by three…

A: Let X: Number of heads observed Y: Amount won by the person If the person tossed a coin…

Q: In a certain game, points you win are positive numbers and points you lose are negative numbers.…

A: Given:The series is givenwin 8; lose 7; win 11; lose 2win=positive numberslose=negative numbersTo…

Q: Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the…

A: Given: Miguel is playing a game in which a box contains four chips with numbers written on them.Two…

Q: Genesis wants to invest his money in a fast food restaurant. There is a 38% chance of losing…

A: The percentage of losing of 40000 is 38%. The percentage of profit of 550000 is 30% The percentage…

Q: A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player…

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Q: Bhie wants to invest his money in a Milk Tea business. There is a 30% chance of losing 150,000 Php.,…

A:

Q: A ping pong ball Is drawn at random from an urn consisting of balls numbered 4 through 9. A player…

A: Given dataA ping pong ball Is drawn at random from an urn consisting of balls numbered 4 through 9.…

Q: How much money would you have to lose in order for you average 0 per roll?

A: Here you play a game where you roll 2 six-sided dice. If you roll a 7, you will lose some money, but…

Q: Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A:

Q: At a back-to-school party, one of your friends lets you play a two-stage game where you pay $3 to…

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Q: Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A:

Q: a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice…

A: Solution

Q: Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors…

A: Two events are said to be mutually exclusive if both of them cannot occur at the same time. Two…

Q: Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of…

A: X is the profit of the game. Initially no money is being invested. You either gain or loose the…

Q: This question illustrates how bidding dishonestly can end up hurting the cheater. Four partners are…

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Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: There are six faces in a die. The probability of rolling any number from 1 to 6 is 1/6. a) If you…

Q: Genesis wants to invest his money in a fast food restaurant. There is a 38% chance of losing…

A: Based on the information given in the question, we have:- Chance of losing P400000 with probability=…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.