A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow acontractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from thesecontracts are: $12 million from the office building, $6 million from the theater, and $2 million from the parking garage. His profit iszero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract,the parking garage contract, or nothing are 0.19,0.30,0.40, and 0.11, respectively. Let x be the random variable that represents thecontractor's profits in millions of dollars. Write the probability distribution of x. Find the mean and standard deviation of x.Round your answers to three decimal places, if required.Mean =iStandard deviation =i

Answer: Using the given data, We get,

Answered: A contractor has submitted bids on…

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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Chess clubs of two schools, School A and School B, consist of 5 and 20 players, respectively. If in a chess competition between these two schools five players are to be chosen from each school and then paired off, how many options are possible?
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Players A, B, C, and D are dividing an estate using the Method of Sealed Bids. There are three indivisible items to allocate. A B C D Item #1 $470 $500 $530 $490 Item #2 $300 $320 $290 $310 Item #3 $430 $380 $380 $400 A fair share to player B is worth at least ["600","400", "300", "200"] . Player ["A", "B", "C", "D"] gets Item #1. Player ["A", "B", "C", "D"] gets Item #2. Player ["A", "B", "C", "D"] gets Item #3. After the kitty has been divided, player A gets ["no items", "item #1", "item #2", "item #3", "more than one item"] and ["pays $110", "pays $130", "gains $35", "gains $130"] .
. Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items a house and a car - using the method of sealed bids. The players' bids (in dollars) are: House Car A B 230000 235000 28000 33000 с 225000 32000 The original fair share of A is worth: $ In the initial allocation, player A: Select an answer D 223000 30000 and Select an answer the estate $ After all is said and done, in the final allocation, Select an answer player A: and Select an answer the estate $
Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, S 35 Million and S 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, 1 concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win) Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players zero-sum game [
XYZ company has designed a new lottery scratch-off game. The player is instructed to scratch off one spot: A, B, or C. A can reveal "loser," "win $1," or "win $50." B can reveal "loser" or "take a second chance." C can reveal "loser," or "win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "loser" or "win $1." E can reveal "loser" or "win $10." The probabilities at A are 0.9, 0.09, and 0.01 respectively. The probabilities at B are 0.8 and 0.2. The probabilities at Care 0.999 and 0.001. The probabilities at D are 0.95 and 0.05. The probabilities at E are 0.5 and 0.5. Calculate the expected value of the game and provide recommendations to a decision-maker
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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…
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Ann, Jim, John, and Nancy are scheduled to compete in a racquetball tournament. Ann is twice as likely to beat Jim, and Jim is the same level as John. Nancy's past winning record against John is one out of three. Set the problem up in terms of the probablity of Nancy winning the tournament and solve the questions: a. What is the probablity that Jim wins the tournament? b. What is the probablity that a woman will win?
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…

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