Two teams are simultaneously competing in a programming competition. The time it takes team 1 to...

Two teams are simultaneously competing in a programming competition. The time it takes team 1 to solve the set of programming tasks is uniformly distributed between 5 and 10 hours. For team 2, the time is uniformly distributed between 7 and 10 hours.

(a) Find the probability density function (pdf ) of the completion time for the entire competition. Assume independence between the completion times in both teams.

(b) Find the expected competition completion time.

Expert Solution

ANSWER::

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

orchestra answered 2 years ago

Cournot Competition. Consider the problem of the Angels and Dodgers, two teams in the MLB. Before...

Cournot Competition. Consider the problem of the Angels and Dodgers, two teams in the MLB. Before the season begins, the Angels and Dodgers simultaneously choose the number of wins WA and WD they are each going to get this season by constructing a roster of players. Assume that the average revenue (inverse demand) for wins is given by: AR(W ) = P (W ) = 240 − 2W where W = WA + WD is the sum of the two...

2. Consider a two-team league in which the teams play 100 games. The large market team...

2. Consider a two-team league in which the teams play 100 games. The large market team gets gate revenue 12w – (w2/20) if it wins w games while the small market team gets 8w – (w2/20) if it wins w games. There are no other sources of revenue. i) Find the equilibrium number of wins for each team and the marginal cost of a win. ii) Suppose that there is revenue sharing, with each team keeping 50% of its revenue...

problem 1. Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition)....

problem 1. Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost c1 and Firm 2 has a marginal cost c2. Assume c1 < c2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = c1 and p2 = c2 is not a Bertrand equilibrium. how do you solve this?

Teams A and B play in a basketball tournament. The first team to win two games...

Teams A and B play in a basketball tournament. The first team to win two games in a row or a total of three games wins the tournament. What is the number of ways the tournament can occur? 14 12 8 10 How many different rearrangements are there of the letters in the word BUBBLE? 60 100 120 80 How many ways are there to arrange all the words in this tongue twister? CAN YOU CAN A CAN AS A...

Two teams A and B are playing against each other in a tournament. The first team...

Two teams A and B are playing against each other in a tournament. The first team to win 3 games is the champion. In each of the games, A has a probability of 0.25 to win, independent of the outcome of the previous games. Let random variable X represent the number of the games played. (b) compute the PMF Px(x) (d) During the tournament, team A was not able to win the tournament after the first 4 games. Compute the...

Consider a tug of war between two teams. Why is it impossible for either team to...

Consider a tug of war between two teams. Why is it impossible for either team to pull harder on the rope than the other? If pulling on the rope harder than the opponent is impossible, why is it possible for a team to still win?

Consider a Cournot-competition under incomplete information. Two firms decide their quantity of production simultaneously. The market...

Consider a Cournot-competition under incomplete information. Two firms decide their quantity of production simultaneously. The market price P is determined by P = 100 − (q1 + q2). Assume that firm 1’s per-unit cost is commonly known at zero. On the other hand, firm 2’s per-unit cost is private information and is either at 0 or at 2. Suppose in the firm 1’s belief, the probability of c2 = 0 is 1 3 and the probability of c2 = 2...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where quantities are chosen before price. Costs MC=ATC=$40 for each firm, and demand is P=200-q. a. What are the reaction functions for each firm? What is the equilibrium quantity of fiberglass parts? What is the equilibrium price? What profits are earned by each firm? b. Show a graph of reaction functions, along with the equilibrium quantity. What happens in the graph if Apex develops new technology which lowers their costs to MC=ATC=$30? Show...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where quantities are chosen before price. Costs MC=ATC=$20 for each firm, and demand is P=200-q. a. What are the reaction functions for each firm? What is the equilibrium quantity of fiberglass parts? What is the equilibrium price? What profits are earned by each firm? b. Show a graph of reaction functions, along with the equilibrium quantity. What happens in the graph if Apex develops new...

Consider the scenario where two teams are looking to trade. The acquiring team can offer a...

Consider the scenario where two teams are looking to trade. The acquiring team can offer a high price or a low price. The trading team can offer a high quality player or a low quality player - the acquiring team can't differentiate between these player types before the trade is completed, though they can figure it out later. The table reflects the payoffs to each strategy for each team. Offer High Price Offer Low Price Trade High Quality Player 200,000...

Question

Two teams are simultaneously competing in a programming competition. The time it takes team 1 to...

Solutions

Expert Solution

Related Solutions

Cournot Competition. Consider the problem of the Angels and Dodgers, two teams in the MLB. Before...

2. Consider a two-team league in which the teams play 100 games. The large market team...

problem 1. Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition)....

Teams A and B play in a basketball tournament. The first team to win two games...

Two teams A and B are playing against each other in a tournament. The first team...

Consider a tug of war between two teams. Why is it impossible for either team to...

Consider a Cournot-competition under incomplete information. Two firms decide their quantity of production simultaneously. The market...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where...

Suppose two producers of fiberglass parts, Apex and Bflex, are duopolists competing in Cournot competition, where...

Consider the scenario where two teams are looking to trade. The acquiring team can offer a...