#1) 68% of all Americans are home owners. If 46 Americans arerandomly selected, find the probability that a. Exactly 32 of themare are home owners. b. At most 32 of them are are home owners. c.At least 32 of them are home owners. d. Between 25 and 33(including 25 and 33) of them are home owners.

#2) 31% of all college students major in STEM (Science,Technology, Engineering, and Math). If 32 college students arerandomly selected, find the probability that

a. Exactly 9 of them major in STEM.  
b. At most 10 of them major in STEM.  
c. At least 10 of them major in STEM.  
d. Between 6 and 13 (including 6 and 13) of them major in STEM.

#3)

56% of all violent felons in the prison system are repeatoffenders. If 50 violent felons are randomly selected, find theprobability that  

a. Exactly 29 of them are repeat offenders.
b. At most 30 of them are repeat offenders.
c. At least 25 of them are repeat offenders.  
d. Between 25 and 30 (including 25 and 30) of them are repeatoffenders.

#4) 63% of all Americans live in cities with population greaterthan 100,000 people. If 49 Americans are randomly selected, findthe probability that

a. Exactly 28 of them live in cities with population greater than100,000 people.  
b. At most 29 of them live in cities with population greater than100,000 people.
c. At least 30 of them live in cities with population greater than100,000 people.  
d. Between 25 and 32 (including 25 and 32) of them live in citieswith population greater than 100,000 people.