Algebra 2Wkst 1064.52Name______

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1.An analyst claims that about 70% of US households own either a car or a dog, and an estimated 10% of the US population is allergic to animals.

a.What is the probability that exactly 1 person in a class of 20 students owns either

a dog or a cat? (Assume that no two students in the class come from the same

household.)

b.What is the probability that exactly 14 people in a class of 20 students owns either a dog or a cat? (Assume that no two students in the class come from the same household.)

c.What is the probability that exactly 3 students in a class of 20 students are allergic to animals?

d.What is the probability that exactly 16 students in a class of 20 students are allergic to animals?

2.A registered golden retriever has a litter of 11 puppies. Assume that the probability of

a puppy being a male is 0.5.

a.What is the probability that exactly 5 of the puppies will be male?

b.What is the probability that exactly 3 of the puppies will be female?

3.Approximately 1% of people are allergic to bee stings. In a class of 25 students, find the

probability that the given number of people are allergic to bee stings:

a.Exactly 1 personb.Exactly 3 people

c.All 25 peopled. No one

4.A survey states that 35% of people in the United States visited an art museum in a

certain year. You randomly select 10 U.S. citizens.

a.What is the probability that exactly 4 people visited an art museum?

b.What is the probability that exactly 7 people visited an art museum?

5.A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles.

a.Three marbles are chosen from the jar without replacement. What is the

probability that none are white?

b.Four marbles are chosen from the jar with replacement. What is the probability

that they are all white?

c.Three marbles are chosen from the jar without replacement. What is the

probability that you get a white marble, then a blue marble, then a white marble?

6.You and your best friend are members of the high school tennis team. The coach is about

to pick one player to be the captain of the team. You estimate that there is a 34%

chance you will be picked and a 54% chance that your best friend will be picked? What is

the probability that either you or your best friend will be picked?

7.The probability that it will rain today is 65% and the probability that it will rain

tomorrow is 25%. The probability that it will rain both days is 35%.

  1. What is the probability that it will rain today or tomorrow?
  1. What is the probability that it won’t rain either day?