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 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}