Chapter 6: Probability

Key Vocabulary:

§ trial

§ random

§ probability

§ independence

§ random phenomenon

§ sample space

§ S = {H, T}

§ tree diagram

§ replacement

§ event

§ P(A)

§
Complement A^{C}

§ disjoint

§ Venn Diagram

§ union (or)

§ intersection (and)

§ joint event

§ joint probability

§
conditional
probability

6.1 Randomness (pp.310-317)

1.
In statistics, what is meant by the term *random*?

2.
In statistics, what is meant by *probability*?

3.
What is *probability theory*?

4.
In statistics, what is meant by an *independent* trial?

6.2
Probability Models (pp.317-340)

1.
In
statistics, what is a *sample space*?

2.
In statistics, what is an *event*?

3.
Explain why the probability of any *event* is a number between 0 and
1.

4.
What is the sum of the probabilities of all possible *outcomes*?

5.
Describe the probability that an *event* does not occur?

6.
What is meant by the *complement* of an event?

7.
When are two events considered *disjoint*?

8.
What is the probability of two *disjoint* events?

9. Explain why the probability of getting heads when flipping a coin is 50%.

10.
What is the *Multiplication Rule* for *independent* events?

11.
Can *disjoint* events be *independent*?

12.
If two events A and B are *independent*, what must be true about A^{c}
and B^{c}?

6.3 More About Probability (pp.341-358)

1.
What
is meant by the *union* of two or more events? Draw a diagram.

2.
State the addition rule for *disjoint* events.

3.
State the general addition rule for *unions* of two events.

4. Explain the difference between the rules in #2 and #3.

5.
What is meant by *joint probability*?

6.
What is meant by *conditional probability*?

7. State the general multiplication rule.

8. How is the general multiplication rule different than the multiplication rule for independent events?

9. State the formula for finding conditional probability.

10.
What is meant by the *intersection* of two or more events? Draw a
diagram.

11.
Explain the difference between the *union* and the *intersection*
of two or more events.

12.
State the formula used to determine if two events are *independent*.