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this is for question 7:

shoes SP_pre SP_post meals_cooked meals_takeout exer_hrs people_hh music instruments 3 credits GPA GPA_exp study_hrs study_hrs_211 sleep_hrs No NA 8 4 11 2 3.7 5 4 No NA 7 21 20 3 5 15 2.96 3 2 3 Yes piano 1 ONO 15 8 2 0 15 4 49 NA 16 N No 40 CO 21 13 7 7 5 3.43 3.8 40 6 4 No NA 35 13 9 20 0 0 15 3.36 3 Piano, french horn, and classical vocals 6 1 2 Yes 30 12 7 20 6 5 12 3.04 2.9 4 NO NA 10 7 14 6 4 6 5 3.5 3.5 10 3 No NA W Co 7 4 15 1 2 15 3.3 3.5 No none 10 4 3 3.53 3.8 10 10 W N 20 Yes I sing. 12 6 11 2.61 3 30 10 5 No NA 3 V 18 10 4 4 15 3.8 21 W Yes Piano + drums V 25 10 8.5 16 5 3 3 15 3.9 14 O 16 Yes violin W 35 15 6 15 3.94 4 NO NA N W A N N W 4 15 3.3 3.4 20 No NA CO N O 2 3.5 35 10 19 0 1 15 No NA 2 O 0 15 3.9 3.8 25 8 un W NO NA A 6 N 15 3.9 3.8 25 9 NA 7.5 12 15 5 8 3.3 4 Yes Piano on W 28 20 5 8 WA 15 3.93 4 20 12 No NA O 15 3 6 6 5 3.8 4 15 No NA A 10 W A 16 5 8 15 3.51 3.8 25 10 Yes Piano N 8 10 10 10 5 3.8 4 3 Yes Guzheng 1 W N 3 30 8 10 7 2 7 20 3.3 2 Yes piano, guitar, violin 3.7 4 15 3 3.2 7 O W 6 Yes Piano U O O W A W A 6 10 15 2 3 20 3.5 3.7 30 6 Yes Piano 10 2 O 3 20 3.5 3.7 30 6 Yes Drums 10 35 20 unT 14 7 10 15 3.19 3.5 4 No NA Co 5 10 6 3 3 15 3 3.6 15 Yes piano 3 W 40 12 NO 12 15 3.62 4 CO CO No NA N 3 10 3.8 15 10 3 3 14 No NA 12 63 28 7 3.15 3.67. Take one HW or Quiz problem from this quarter that you struggled to understand and solve. Write down a full solution here, and then discuss how you got the problem to \"click\" and what you learned from the struggle. 8. What statistical ideas are you curious to learn more about after taking this class? Give an example of a question about the material you'd like to explore further and describe why this is an interesting question to you. 9. Afriend of yours is not required to take Math 211 but is considering doing so. This friend asks you for one example of something you learned from the class that you found especially interesting or surprising. What would tell this friend? 10. Create and solve your own Final Exam question- Feel free to use a problem from the textbook as inspiration, but pick a oontext that is actually interesting to you. Math 211 Survey Variables This document gives some context around the variables in the Math211 .csv dataset. credits How many credits are you taking this quarter? GPA What is your cumulative GPA at SOC? (0.0 -- 4.0 scale) GPA_e xp What GPA do you expect in Math 211 this quarter? (0.0 -- 4.0 scale) s tudy_hr 5 On average, how many hours do you study per week? study_hrs_2 l 1 On average, how many hours do you study specically for Math 211 each week? s l eep_hr 5 On average, how many hours per night do you sleep? meal s_cooked On average, how many meals do you cook for yourself each week? meal s_takeout On average, how many meals do you each takeout food each week? exer hrs On average, how many hours per week do you spend exercising? music Do you play a musical instrument (Yes/No)? instruments List all instruments you play. This variable will require some data cleaning if you want to use it. Note that anyone who answered \"No\" to the previous question will have an NA for \"not available" as their value for this variable. shoes How many pairs of shoes do you own? SP_pre How many pairs of sweatpants did you own ore-pandemic? SP_post How many pairs of sweatpants do you own now? 4.38 Speeding on the 1-5, Part II. Exercise 4.36 states that the distribution of speeds of cars traveling on the Interstate 5 Freeway (1-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. The speed limit on this stretch of the I-5 is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding? What is the standard deviation of the number of cars he would expect to watch