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3. You are playing a game that involves 2 spinners, one spinner has the numbers 1,2,3,4,5....
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of...
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of a real-life process) to theoretical (long-run relative frequency) probabilities. We will use StatCrunch to simulate this process using a board game spinner three times so that we can determine the total number of spaces moved in three turns. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. f) Calculate the theoretical probability of...
Gary and John are playing a game. Gary is going to randomly pick an integer from...
Gary and John are playing a game. Gary is going to randomly pick an integer from 1 to 4 (inclusive) and John will randomly guess which number Gary has picked. One possible outcome of this game is (1,3): Gary picked 1, and John guessed 3. Assume all the outcomes are equally likely. 2. Define the following events: A: The summation of picking and guessing number from outcome is greater than 4 B: John correctly guessed Gary's number C: John guessed...
In a carnival game, the chances of winning a big prize, a little prize, or no...
In a carnival game, the chances of winning a big prize, a little prize, or no prize are all equally likely. Suppose the game is played a total of 8 times. a) Describe the sample space. How would you denote possible outcomes? How do you assign probabilities to each outcome? b) What is the probability of winning exactly 2 big prizes and 3 little prizes? c) How many different configurations of big, little, and no prizes are possible after the...
(a) If you roll a single die and count the number of dots on top, what...
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? 1, 2, 3, 4, 5, 6; not equally likely 1, 2, 3, 4, 5, 6; equally likely O 0, 1, 2, 3, 4, 5, 6; equally likely 0, 1, 2, 3, 4, 5, 6; not equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter...
Statistics for Economics Winter 2020 Instructions: When you finish all problems, ask your TA to check...
Statistics for Economics Winter 2020 Instructions: When you finish all problems, ask your TA to check your work. You are encouraged to work in groups but all written work must be your own. Problem 1 (Discrete/Binomial Random Variable). In a game of American Roulette, a player will make 20 consecutive bets on the same set of outcomes. She will place her bet on red numbers. Assume each outcomes of each spin are independent and the all outcomes of the roulette...
A fair die has the numbers 1, 2, 3, 4, 5, and 6 on its faces....
A fair die has the numbers 1, 2, 3, 4, 5, and 6 on its faces. Each face is equally likely to come up on a roll. You are conducting an experiment. You roll the die and record the number rolled. Then you roll the die again and add this second number to the first numbered rolled. The outcome of the experiment is this sum. List all of the possibilities for outcomes of this experiment?
Thank you 24. A better model for two indistinguishable fair dice? You may be uncomfortable with...
Thank you
24. A better model for two indistinguishable fair dice? You may be uncomfortable with the sample space given in class for the possible outcomes of the roll of a pair of fair dice because when dealing with two dice you cannot, or at least you do not, distinguish between them. Thus for example, the two outcomes (1,3) and (3,1) should perhaps be considered as the same outcome. This argument leads to the following 21-member sample space: (23>)A56.6 (2,2)...
Suppose that a red die and a green die are tossed and the numbers on the...
Suppose that a red die and a green die are tossed and the numbers on the sides that face upward are observed.(a) What is the probability that the numbers add up to 8 ?(b) What is the probability that the sum of the numbers is less than 4 ?An experiment consists of tossing a coin two times and observing the sequence of heads and tails. Each of the four outcomes has the same probability of occurring.(a) What is the probability...
(2) What is the sample space you obtain if a fair coin and a die are...
(2) What is the sample space you obtain if a fair coin and a die are tossed? (3) Suppose there is a machine which randomly selects two digits from a collection of , 2, a. What are the sample points contained in the event that the sum of the two digits b. What are the sample points contained in the event that the absolute difference (4) Suppose that vehicles taking a particular freeway exit can turn right (R), turn left...
red- /36 black -1s/39 Jeen 2/3 38 pessible outcormes pesible outcormes 4) In the game of...
red- /36 black -1s/39 Jeen 2/3 38 pessible outcormes pesible outcormes 4) In the game of roulette, a wheel is spun with 38 possible outcomes. 18 of these outcomes are red, 18 black, and 2 green. AIl 38 outcomes are equally likely an outcome of red? no Plesectly 2 red) a) If you play 10 games of roulette, what is the probability exactly 2 of these games has b) If you play 10 games of roulette, would it be unusual...
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of a real-life process) to theoretical (long-run relative frequency) probabilities. We will use StatCrunch to simulate this process using a board game spinner three times so that we can determine the total number of spaces moved in three turns. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. f) Calculate the theoretical probability of...
Gary and John are playing a game. Gary is going to randomly pick an integer from 1 to 4 (inclusive) and John will randomly guess which number Gary has picked. One possible outcome of this game is (1,3): Gary picked 1, and John guessed 3. Assume all the outcomes are equally likely. 2. Define the following events: A: The summation of picking and guessing number from outcome is greater than 4 B: John correctly guessed Gary's number C: John guessed...
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? 1, 2, 3, 4, 5, 6; not equally likely 1, 2, 3, 4, 5, 6; equally likely O 0, 1, 2, 3, 4, 5, 6; equally likely 0, 1, 2, 3, 4, 5, 6; not equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter...
Statistics for Economics Winter 2020 Instructions: When you finish all problems, ask your TA to check your work. You are encouraged to work in groups but all written work must be your own. Problem 1 (Discrete/Binomial Random Variable). In a game of American Roulette, a player will make 20 consecutive bets on the same set of outcomes. She will place her bet on red numbers. Assume each outcomes of each spin are independent and the all outcomes of the roulette...
Thank you
24. A better model for two indistinguishable fair dice? You may be uncomfortable with the sample space given in class for the possible outcomes of the roll of a pair of fair dice because when dealing with two dice you cannot, or at least you do not, distinguish between them. Thus for example, the two outcomes (1,3) and (3,1) should perhaps be considered as the same outcome. This argument leads to the following 21-member sample space: (23>)A56.6 (2,2)...
(2) What is the sample space you obtain if a fair coin and a die are tossed? (3) Suppose there is a machine which randomly selects two digits from a collection of , 2, a. What are the sample points contained in the event that the sum of the two digits b. What are the sample points contained in the event that the absolute difference (4) Suppose that vehicles taking a particular freeway exit can turn right (R), turn left...
red- /36 black -1s/39 Jeen 2/3 38 pessible outcormes pesible outcormes 4) In the game of roulette, a wheel is spun with 38 possible outcomes. 18 of these outcomes are red, 18 black, and 2 green. AIl 38 outcomes are equally likely an outcome of red? no Plesectly 2 red) a) If you play 10 games of roulette, what is the probability exactly 2 of these games has b) If you play 10 games of roulette, would it be unusual...
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