Question

question 1) 80% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 30 owned dogs are randomly selected, find the probability that

a. Exactly 25 of them are spayed or neutered.  
b. At most 24 of them are spayed or neutered.  
c. At least 24 of them are spayed or neutered.
d. Between 18 and 24 (including 18 and 24) of them are spayed or neutered.

question 2)

79% of all bald eagles survive their first year of life. If 31 bald eagles are randomly selected, find the probability that

a. Exactly 26 of them survive their first year of life.
b. At most 25 of them survive their first year of life.
c. At least 25 of them survive their first year of life.  
d. Between 21 and 29 (including 21 and 29) of them survive their first year of life.

question 3)

68% of all Americans live in cities with population greater than 100,000 people. If 36 Americans are randomly selected, find the probability that

a. Exactly 23 of them live in cities with population greater than 100,000 people.  
b. At most 25 of them live in cities with population greater than 100,000 people.
c. At least 23 of them live in cities with population greater than 100,000 people.  
d. Between 20 and 25 (including 20 and 25) of them live in cities with population greater than 100,000 people.

question 4) The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 700 tickets. There is one $1,000 grand prize, four $500 second prizes, and sixteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.

Answer 1