. Question 4 35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30 college students are randomly selected, find the probability that a. Exactly 12 of them major in STEM. b. At most 12 of them major in STEM. c. At least 9 of them major in STEM. d. Between 6 and 10 (including 6 and 10) of them major in STEM.. Question 5 65% of all violent felons in the prison system are repeat offenders. If 48 violent felons are randomly selected, find the probability that a. Exactly 28 of them are repeat offenders. b. At most 31 of them are repeat offenders. c. At least 29 of them are repeat offenders. d. Between 26 and 30 (including 26 and 30) of them are repeat offenders.. Question 6 79% of all Americans live in cities with population greater than 100,000 people. If 32 Americans are randomly selected, find the probability that a. Exactly 25 of them live in cities with population greater than 100,000 people. b. At most 27 of them live in cities with population greater than 100,000 people. c. At least 25 of them live in cities with population greater than 100,000 people. d. Between 22 and 30 (including 22 and 30) of them live in cities with population greater than 100,000 people