2. A player in a dice game suspects that one of the dice is loaded. (A...
The dice game craps is played as follows. The player throws two dice and if the sum is seven or eleven, the player wins. If the sum is two, three, or twelve the player loses. If the sum is anything else, the player continues throwing until either that same number is thrown again (in which case the player wins) or the player throws seven (in which case the player loses). Calculate the probability the player wins within 0.01 (hint -...
Kelly is playing a dice game. She suspects her opponent of using a loaded die. While the opponent is on a snack break, Kelly grabs the die and rolls it 100 times. There were 12 1’s, 15 2’s, 13 3’s, 18 4’s, 20 5’s, and 22 6’s. At 5% significance, does Kelly have enough evidence to show that her opponent’s die is loaded?
2. "Craps" is a game played by rolling two fair dice. To play one round of this game, the player rolls the dice and the outcome is determined by the following rules: If the total number of dots is 7 or 11 (a "natural"), then the player wins. If the total number of dots is 2, 3, or 12 C'craps"), then the player loses. If the total number of dots is 4, 5, 6,8,9, or 10, then this number is...
A casino customer is concerned about whether the dice the casino are using are "fair" (i.e., each face is equally likely to appear). The customer obtains a die that is being used by the casino and rolls it 240 times. The customer records the following data: Face 1 2 3 4 5 6 Frequency 46 38 44 45 38 29 What is the value of the test statistic for the goodness of fit test? a. 19.027 b. 3.263 c. 12.956...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of αα = 0.05. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 1 17 2 20 3 17 4 27 5 19 6 20 Data: 17,20,17,27,19,20 Excel data Expected Frequency for Outcome...
help with d,e,f,g,h,i A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Ex Frequency of Dice Values Outcome Frequency Expected Frequency 29 20 2 23 20 3 17 20 4 10 20 5 23 20 С...
Please i need helpe with this JAVA code. Write a Java program simulates the dice game called GAMECrap. For this project, assume that the game is being played between two players, and that the rules are as follows: Problem Statement One of the players goes first. That player announces the size of the bet, and rolls the dice. If the player rolls a 7 or 11, it is called a natural. The player who rolled the dice wins. 2, 3...
One of the more interesting applications of the x test is to examine issues of fairness and cheating in games of chance. Since such games usually involve wagering, there is an incentive for people to try to rig the games, and allegations of missing cards, "loaded" dice, and "sticky" roulette wheels are all too common. Take the example of dice. Most dice used in wagering have six sides, with each side having a value of one, two, three, four, five,...
Please help After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? Face 1 Count 11 8 5 Face 4 5 6 Full data set Count 6 7 23 2 3 a) If the die is fair, how many times would you expect...
The college suspects their star player James Strongarm has used an illegal performance-enhancing drug. Currently, the probability that James is a drug user is 0.37. They consider barring him from athletics. The real "monetary" values of the outcomes are difficult to assess in this case and, therefore, the value of each outcome is expressed in a funny money unit: Galleon (from Harry Potter Movies). The following are the payoffs for the potential outcomes: Correctly identifying a drug user and barring...