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2.1 Consider a game which consists of two successive trials; the first trial has outcomes A...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A,...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.20; the probability of outcome B is 0.70; and the probability of outcome C is 0.10. Suppose there are 10 trials. (a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. No. A binomial...
When an experiment's trials has exactly two possible outcomes, such as heads or tails, and possesses...
When an experiment's trials has exactly two possible outcomes, such as heads or tails, and possesses the following traits, what type of experiment and resulting distribution is this considered? A fixed number of trials Each trial is independent of the others The probability of each outcome remains constant from trial to trial a. Poisson distribution b. Binomial distribution c. Continuous distribution d. Hypergeometric distribution
A) Consider the extensive form game of complete and imperfect information above. The number of pure...
A) Consider the extensive form game of complete and imperfect
information above. The number of pure strategy Nash Equilibrium in
the game is? (Please, type only numerical values, for example: 0,
1, 2, 3,....)
B) Consider the extensive form game of complete and imperfect
information above. The following strategy profiles are Subgame
Perfect Nash Equilibrium (Select all that apply)
a) (WY, AD)
b) (WY, AC)
c) (ZX, AD)
d) (ZY, BC)
e) (ZY, BD)
...
An experiment has 6 different outcomes. The probabilities of the first five outcomes are 3/20, 7/20,...
An experiment has 6 different outcomes. The probabilities of the first five outcomes are 3/20, 7/20, 1/10, 1/25 and 4/25. What is the probability of the last outcome?
Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let...
Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let x+m be the number of trials to achieve m successes, and then x has a negative binomial distribution. In summary, negative binomial distribution has the following properties Each trial can result in just two possible outcomes. One is called a success and the other is called a failure. The trials are independent The probability of success, denoted by p, is the...
The game is guessing the outcome of a 6 sided dice the participant has to correctly...
The game is guessing the outcome of a 6 sided dice the participant has to correctly guess the outcome out of 6 possible outcomes from 1 to 6 the cost is 1$ and on correctly guessing the win 3$ P(correct guess) = 1/6 (probability of getting the guessed number out 6 possibilities in dice) therefore expected profit per game in the long run = ticket price - prize*probability of winning = 1$ - 3$ * (1/6) = 0.5$ therefore the...
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of...
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of repeated trials and the following properties: . Each trial has two outcomes. . The outcomes of each trial are independent of other trials. . The probability of each specific outcome is uniform across tr Example 1: We roll a standard 6-sided die three times. Each time we roll the die, we record whether the die landed on a number less than 5, or not....
A coin is tossed and has three possible outcomes: Head, Tail, Edge. Suppose P(Head) = 1/3,...
A coin is tossed and has three possible outcomes: Head, Tail, Edge. Suppose P(Head) = 1/3, P(T ail) = 1/2, P(Edge) = 1/6. The coin is repeatedly tossed. If the trials are identical and independent, what is the probability of getting a head before getting a tail?
4. Consider the following game that is played T times. First, players move simultaneously and independently....
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...
Problem 6 7. Part 1-4 (10pts)A coin has two faces Head and Tail. (1) (2pts)]lf you...
Problem 6
7. Part 1-4
(10pts)A coin has two faces Head and Tail. (1) (2pts)]lf you toss the coin once, and record the up-face value, what is the sample space? 6. (2) (2pts)lf you toss the coin once, what is the probability that up-face is Tail? What is the probability that up-face is Head? (3) (5ps)lf you toss the coin three times, and record the up-face value for each toss. One of the possible outcome is (Head, Head, Head). By...
A) Consider the extensive form game of complete and imperfect
information above. The number of pure strategy Nash Equilibrium in
the game is? (Please, type only numerical values, for example: 0,
1, 2, 3,....)
B) Consider the extensive form game of complete and imperfect
information above. The following strategy profiles are Subgame
Perfect Nash Equilibrium (Select all that apply)
a) (WY, AD)
b) (WY, AC)
c) (ZX, AD)
d) (ZY, BC)
e) (ZY, BD)
...
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of repeated trials and the following properties: . Each trial has two outcomes. . The outcomes of each trial are independent of other trials. . The probability of each specific outcome is uniform across tr Example 1: We roll a standard 6-sided die three times. Each time we roll the die, we record whether the die landed on a number less than 5, or not....
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...
Problem 6
7. Part 1-4
(10pts)A coin has two faces Head and Tail. (1) (2pts)]lf you toss the coin once, and record the up-face value, what is the sample space? 6. (2) (2pts)lf you toss the coin once, what is the probability that up-face is Tail? What is the probability that up-face is Head? (3) (5ps)lf you toss the coin three times, and record the up-face value for each toss. One of the possible outcome is (Head, Head, Head). By...
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