Suppose there are two prns, each filled with 100 balls. Urn A contains 50 Blue balls and 50 Green balls. Um B containsonly Blue and Green balls, but im unknown proportion.In problem 1, Blue is the winning color ($100), and the decision maker (DM) is asked to choose between a random drawfrom Urn A or a random draw from Urn B.In problem 2, Green is the winning color ($100), and the DM is asked to choose between a random draw from Urn A or arandom draw from Urn B.Thus there are four possible choice patterns we can observe for DM: (1) Draw from Urn A in both problems; (2) Drawfrom Urn B in both problems; (3) Draw from Urn A in problem 1, and B in problem 2; (4) Draw from Urn B in problem 1,and A in problem 2.Which of these choice patterns are consistent with subjective expected utility (if any), and which choice patterns are notconsistent with subjective expected utility (if any)? Justify your answer.NOVO tvMacBook AirDIDD80F8F9F10F7F2F3F4F5F1*@#$&23467QWEUASFH.JK>B Ncommandoptionoptioncommand.. ..V* CO多N

Given :There are two urns, each filled with 100 balls. Urn A containts 50 Blue balls and 50 Green…

Answered: Suppose there are two prns, each filled…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a game show, a contestant is presented with three doors: Door A, Door B, and Door C. Behind one of these doors is a car, and behind the other two are goats. The contestant picks one door, say Door A, and the host, who knows what's behind each door, opens another door, say Door B, revealing a goat. The contestant is then given the choice to stick with their original choice (Door A) or switch to the remaining unopened door (Door C). What is the probability of winning the car if the contestant decides to switch doors?
. Suppose an exam consists of multiple-choice questions, with each question having 5 options. Exactlyone of the five options is the correct answer. Suppose 24 points are awarded for a correctly answeredquestion.(a) How many points should be deducted for an incorrectly answered question, so that for a studentguessing randomly, the expected score on a question is zero?(b) If a student is able to correctly eliminate one option as a possible correct answer but is still guessingrandomly, what happens to his/her expected score for that question? Use your answer to (a) asthe number of points being deducted for an incorrect answer.
James placed a $25 bet on a red and a $5 bet on the number 33 (which is black) on a standard 00 roulette wheel. -if the ball lands in a red space, he wins $25 on his 'red' but loses $5 on his '33' bet - so he wins $20 -if the ball lands the number 33, he loses $25 on his 'red' bet but wins $175 on his '33' bet: He wins $150 -if the ball lands on a spae that isn't red and isnt 33 he loses both bets, so he loses $30 So for each spin; he either wins $150, wins $20, or loses $30 -probability that he wins $150 is 1/38 or .0263 -probability that he wins $20 is 18/38 or .4737 -probability that he loses $30 is 19/38 or .5000 let X = the profit that james makes on the next spin x P (X=x) x*P(X=x) x^2*P(X=x) 150 .0263 3.945 591.75 20 .4737 9.474 189.48 -30 .5000 -15.000 450.00 sum (sigma) 1.000 -1.581 1231.23 u (expected value)= -$1.581 variance = 1228.73044 standard deviation = 35.053 FILL IN THE BLANK if you play 2500 times, and Let, x (x bar)= the mean winnings (or…
One package contains 5 blue, 4 red and 3 green marbles. We pay $ 14 to draw two marbles at random and without replacement. If we get two blue marbles a prize of $ 20 is won, with two red marbles a prize of $ 30 is won, with two green marbles a prize of $ 30 is won, with two green marbles a prize of $ 50 is won and with any other result they lose the $ 14 they paid to play. Find the expected value of the win in this game. Write your answer in dollars and cents without the $ sign Example: -5.06
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
Bowl A contains 2 red chips; bowl B contains two white chips; and bowl C contains 1 red chip and 1 white chip. A bowl is selected at random, and one chip is taken at random from that bowl.
A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get all 15 questions correct? at least 10 questions correct? no questions correct? no more than 5 questions correct?
The player pays a fee of $5 to play. The player then rolls a 12-sided die three times. If the player rolls a 7 on any of the three rolls, they win a prize. The prize is determined by the number of 7s rolled. If the player rolls one 7, they win $5. If the player rolls two 7s, they win a $10. If the player rolls three 7s, they win $20. Compare the theoretical results of the game to the experimental results, including a discussion of whether the results were typical or rare. Theoretical results: Roll (including all 3 rolls) Result Money earned 1 7,7,7 $15 2 2,4,5 $5 3 5,7,9 $5 4 1,9,3 $0 5 2,12,7 $5 6 3,12,3 $0 7 7,4,8 $5 8 6,7,7 $10 9 5,12,4 $0 10 7,5,7 $10 Experimental results: Roll (including all 3 rolls) Result Money earned 1 1,3,7 $5 2 3,6,4 $0 3 7,6,9 $5 4 8,7,7 $10 5 11,4,1 $0 6 6,5,7 $7 7 4,6,3 $0 8 7,1,9 $7 9…
A roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers(red), as well as 0 and 00 (which are green). You bet 5 dollars that the outcome is anodd number. If you win you get 10 dollars; otherwise you lose your 5 dollars. Note:assume the 0 and 00 numbers are considered even numbers What is your expected winnings? Which of these options is best: bet on an odd number or don’t bet? Why?
A father and his three children decide to hold a vote to select an after dinner activity. They will either see a play or a movie. If the majority of the family agrees on a preferred activity, then they will do that activity. If two family members vote to see a play and the other two family members vote to watch a movie, then (since the father will pay for the activity), the father's vote will be used to break the tie. (a) How many winning coalitions are there in this situation? (b) Find one of the children's Banzhaf power index.

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