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- 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 Atlanta Braves 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 field advantage, suppose the probabilities of Atlanta winning each game are as follows. Game 1 games 2 3 0.59 0.56 4 5 6 Probability of Win Construct 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.) 7 0.49 0.46 0.49 0.56 0.51 (b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to…Kindly compute the students who got a math score greater than 60A national truck rental services has a surplus of one truck in each of the cities, 1, 2, 3, 4, 5, and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12.The distance (in kilometers) between the cities with a surplus and cities with deficit are displayed below:a) How should the trucks be displayed so as to minimize the total distance travelled? 1 2 3 4 5 6 7 41 72 39 52 25 51 8 22 29 49 65 81 50 9 27 39 60 51 32 32 10 45 50 48 52 37 43 11 82 40 40 60 51 30
- 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 Atlanta Braves 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 field advantage, suppose the probabilities of Atlanta winning each game are as follows.Game 1 2 3 4 5 6 7Probability of Win 0.59 0.56 0.49 0.46 0.47 0.56 0.49Construct 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.) Incorrect:…A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model). Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom =What is the population mode of commute time of the employees of Asons? Employee Commute Time (mins) Number 1 2 3 4 5 6 7 O O 35 40 45 50 20 35 90 45 40 35 50
- A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model) Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom = The test is carried out at significance level α = 0.05 using the method described in the lecture notes. If the decision is to not reject the null hypothesis, what is the appropriate conclusion for the test? Select the appropriate conclusion from the list below. There is sufficient evidence at α = 0.05 that…Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each workers made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10 participants for both conditions: Yes speech: 2, 6, 1, 9, 3, 12, 8, 0, 5, 1No speech: 3, 0, 5, 10, 1, 8, 2, 1, 9, 11Use the four steps of hypothesis testing to find out if there is a significant difference between the two groups, using APA format to answer the question.