Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the AtlantaBraves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins'ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home fieldadvantage, suppose the probabilities of Atlanta winning each game are as follows.Game12games34567Probability of Win 0.59 0.56 0.49 0.44 0.47 0.56 0.51Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions.(Use at least 1,000 trials.)(a) What is the average number of games played regardless of winner? (Round your answer to one decimal place.)(b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to three decimal places.)

Given information: Game Probability of Win 1 0.59 2 0.56 3 0.49 4 0.44 5 0.47 6 0.56…

Answered: Major League Baseball's World Series is…

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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Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
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A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (20+I)%, and (10+H)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2? H is 3 and I is 2
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At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are Good Fair Critical Good 0.65 0.20 0.05 Fair 0.50 0.30 0.12 Critical 0.51 0.25 0.20 Improved Unimproved Dead Good 0.06 0.03 0.01 Fair 0.03 0.02 0.03 Critical 0.01 0.01 0.02 For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…
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