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Probability questions that I'm having trouble understanding at the moment. 1. Below is the average pace per mile in minutes for the female runners of

Probability questions that I'm having trouble understanding at the moment.

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1. Below is the average pace per mile in minutes for the female runners of the 2019 Myrtle Beach Marathon {MEM} in the age group of 29-24. Round all values to the tenths. [(21-4) 7.4 7.7 8.1 8.2 8.? 9.0 9.2 9.3 9.3 9.8 9.? 9.8 -9.8 9.8 10.4 10.5 10.7 10.8 11.7 11.9 12.4 12.7 13.4 a] Is the data discrete or continuous? {2) b) Is the data ordinal, interval, ratio, or nominal? {2) c] Find the mean, median, and mode of the data. (3} d) Assuming this represents a sample of all of the average paces for the female runners of the 2019 MBM, identify the standard deviation and the skewness of the data. {2} e} Create box plot for the data. (6] f) Referencing the boxplot and the skewness, does this data appear to be normally distributed? (2) g) According to the empirical rule, 95% of the average pace times fall between what two values? Are there any times in the same that are unusual? (3) 2. In the classic legal case of Whitus v. 6min, a jury pool of 90 people were supposed to be randomly selected from tax digest. While 2?% of the taxpayers in the county were African AmericanfBlack, of the 90 people selected, only I were African AmericanfBlaclc. At the time, there were 600 names in the tax digest [E E}. Round all values four decimal places. [C5 and 6) a] If one name was selected from the tax digest, what is the probability that the person was African AmericaniBlack? {4} b} What is the probability that you selected 90 names from the tax digest and exactly 7 were African AmericanfBlack? {4} c} What is the probability that you selected 90 names from the tax digest and less than 20 were African AmericanlBlack? {4] d) Given n = 90 and p = .27, what is the expect number of African AmericanfBlack persons that would be selected for thejury pool? {4} e) Ultimately, the Supreme Court found Georgia guilty of committing purposeful discrimination. Using the probabilities above, explain how the court came to this decision. {4}

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