Find all ₁ s.t. 3 (i) a NE which is not a SPNE where player 1 plays U (ii) a SPNE where player 1 plays U 1α U 2 (π₁,2,3) A B 3 (1,0,3) X Y 1 R R (3,2,1) (2,1,20) (3,3,0) (20,1,3)
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- Using the random variables X and Y from Table 2.2, consider two new random variables W = 4 + 8X and V = 11 - 2Y. Compute (a) E(W) and E(V); (b) J2W and J2V; and (c) JWV and corr(W, V).Four apples and four oranges are distributed between two boxes in such a way that each of them has four fruits. At each step, we withdraw one fruit from each box and exchange them. Let Xn be the number of apples in the first box. Give the transition probability matrix for Xn. Find long run proportion which is to find Pi1,Pi2,Pi3,Pi4.Previous answer was absolutely incorru
- 6. During an evolution, the minimum, maximum, and average fitness of a population is 1.2, 270, and 40, respectively. If the most fit individual is to be 3 time more likely than the average fit individual to be selected, and the least fit individual is l1/3 as likely as the average fit individual to be selected, what is the scaled fitness of an individual whose raw fitness is 58.18. Choose the correct answer from the given below.Please do not give solution in image format thanku Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.
- Pisa Pizza, a seller of frozen pizza, is considering introducting a healthier version of its pizza that will be low in cholesterol and contain no trans fats. The firm expects that sales of new pizza will be $20 million per year. While many of these sales will be to new customers, Pisa Pizza estimaes that 40% will come from customers who switch to the new, healthier pizzai nstead of buying the original version. a) Assume cusotmer will spend the same amount on either version. What level of incremental sales is associated with introducing the new pizza? b) Suppose that 50% of hte cusomters who will switch from Pisa Pizza's orignial pizza to its healthier pizza will switch to another brand if Pisa PIzza does not introduce a healthier pizza. What level of incremental sales is associated with introducing the new pizza in this case?q7- Which statement is incorrect for statistical independence between X and Y? Select one: a. The occurence of Y has no impact on the probability for the occurence of X b. If X and Y occur jointly, it is purely by chance c. The correlation between X and Y is 0 d. The correlation between X and Y is 115 is B, answer 16 only
- Let X1, X2, X3, X4 have the joint probability density functionf(x1, x2, x3, x4) = (24e−(x1+x2+x3+x4), 0 < x1, x2, x3, x4 < ∞0, elsewhereLet Y1 = X1, Y2 = X2 − X1, Y3 = X3 − X2, Y4 = X4 − X3.(i) Using the change of variable technique, find the joint probability density functionof Y1, Y2, Y3, Y4(ii) Find the conditional distribution of Y4 given Y1, Y2, Y3n people guess an integer between 1 and 100, and the winner is the player whose guess is closest to the mean of the guesses + 1 (ties broken randomly). Which of the following is an equilibrium: a) All announce 1. b) All announce 50. c) All announce 75. d) All announce 100In the CRRA utility family u(x) = x^(1−γ). If this individual has autility where γ = 0.01, would he prefer the payment of $320 or the gamble?