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# 1. Let E be the event that a household owns a pet. In a full sentence,...

1. Let E be the event that a household owns a pet. In a full sentence, what is the complement of this event?

2. The probability that a randomly chosen household owns a dog is 0.38. What is the probability that a randomly chosen household does not own a dog?

3. A sample of 482 students showed that 20 of them had taken an online course. Based on this information, is it unusual for a student to have taken an online course? Give your response in a full sentence and include appropriate supporting calculations.

4. Determine whether each of the following represents an example of finding a probability using the classical method, the empirical (relative frequency) method or the judgemental method.

a. A student says that they are 100% certain that they will get an A in a class at the beginning of the semester.

b. Of 350 college students polled, the probability that they are planning on going to graduate school is 0.44.

c. The probability of choosing the correct numbers in a certain lottery is 0.000024

5. About 18% of people say that winter is their favorite season. If one person is chosen at random, what is the probability that they do not say winter is their favorite season?

6. About 18% of people say that winter is their favorite season. If four people are chosen at random, what is the probability that they all say winter is their favorite season.  Round your response to three decimal places.

7. Consider the following pair of events.

E: A randomly chosen person was born in California.

F: A different randomly chosen person was born in Washington.

Determine whether this pair of events is mutually exclusive (disjoint) or not. Explain your answer in a full sentence.

8. Consider the following pair of events.

E: A randomly chosen person was born in California.

F: A different randomly chosen person was born in Washington.

Determine whether this pair of events is independent or not. Explain your answer in a full sentence.

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