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4.) The student council is hosting a drawing to raise money for scholarships. They are selling...

4.) The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 800 tickets. There is one $3,000 grand prize, three $400 second prizes, and thirteen $30 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.

5.)61% of all students at a college still need to take another math class. If 50 students are randomly selected, find the probability that

a. Exactly 32 of them need to take another math class.
b. At most 29 of them need to take another math class.
c. At least 32 of them need to take another math class.
d. Between 27 and 31 (including 27 and 31) of them need to take another math class.

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