1) 28% of all college students major in STEM (Science, Technology, Engineering, and Math). If 48 college students are randomly selected, find the probability that

a. Exactly 11 of them major in STEM._______

b. At most 14 of them major in STEM._______

c. At least 13 of them major in STEM.________

d. Between 8 and 13 (including 8 and 13) of them major in STEM.________

2) The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 900 tickets. There is one $1,000 grand prize, three $400 second prizes, and twelve $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.

_________ $