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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In a manufacturing process, lots having 10%, 12%, 14% or 16 defectives are produced according to the respective probabilities 0.2, 0.35, 0.15 and 0.3. Three customers have contracts to receive lots from the manufacturer. The contracts specify that the percentages of defectives in lots shipped to customers A, B and C should not exceed 10, 12 and 14, respectively. If a lot has a higher percentage of defectives that stipulated, a penalty of $ 200 per percentage point is incurred. On the other hand, supplying better quality than required costs the manufacturer $150 per percentage point. If the lots are not inspected prior to shipment, which customer should have the highest priority for receiving the order?
A system consists of four components with A, B in series and C, D in parallel connected as shown below in the following diagram. Given that the system above with components in the order A, B, C, and D, from top to down function independently. If the probability that the component A, B, C, and D fail is 0.10,0.05,0.10, and 0.20 respectively. Estimate the probability that the system functions?
Suppose that Trendy Inc. products a style of a seasonal business suit, Sit-T-Slicker, which has a cost of $500 per unit. The demand during the season for Sit-T-Slicker is generally unknown and could be either: 200, 500, 800, 1100, and 1500 units with equal probabilities. Trendy sells the Sit-T-Slicker suit for $900 per unit during its three-month season, and for $300 per unit when sold after that time. Given the above data, what is the optimal order quantity for the Sit-T-Slicker? What is expected profit? Suppose the probabilities in part a change to 0.05, 0.25, 0.40, 0.25, 0.05 for demand levels 200, 500, 800, 1100, 1500, respectively. What is the optimal order quantity and expected profit in this case? How would better information regarding the demand for the Sit-T-Slicker suit change the data provided in this problem? How would this information affect the answers to part a? Explain.
A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B and 20 subscribe to both. Find the probability that a resident chosen is subscribing to A only?
Number 8 A and B please
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
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
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails? 50 .65 A B 1.75 с 95 D E
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails?
A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.95, P(C) = 0.91, and P(D) = 0.96. Find the probability that at least one of the four parts will work. Round to six decimal places.
In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score one or two additional points. Going for one point is virtually an assured success, while going for two points is successful only with probability p. Consider the following game situation. The Temple Wildcats are losing by 14 points to the Killeen Tigers near the end of regulation time. The only way for Temple to win (or tie) this game is to score two touchdowns while not allowing Killeen to score again. The Temple coach must decide whether to attempt a 1-point or 2-point conversion after each touchdown. If the score is tied at the end of regulation time, the game goes into overtime. The Temple coach believes that there is a 50% chance that Temple will win if the game goes into overtime. The probability of successfully converting a 1-point conversion is 1.0. The probability of successfully converting a 2-point conversion is p. (a) Assume Temple will score…
Five people, designated as A,AB,C,D,E are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that there are exactly two people between A and B?

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