AP Statistics / Mr. Hansen
Mini-Quiz on §§6.1 and 6.2 (11/21/2000)

Name: ___________________________

1.

Probability may be defined concisely (use the 4-word definition if possible) as ______
______ ______ ______ .

2.

The distribution of values taken by a statistic in all possible samples of a fixed size from the same population is called the ________________________ of a statistic. Examples of statistics include _______ and ________ . For large n, the sampling distribution of xbar is very tall and ________ . For small n, the sampling distribution of xbar is not as tall and has a much _________ standard deviation.

3.

You roll 2 fair dice in such a way that they fall on the floor, out of sight. You have a trusted friend who will look at the dice and will answer your questions truthfully. You ask your trusted friend if at least one of the dice is a 6. Clearly, the answer to this question is not always yes. But if the answer is yes, i.e., if we consider only those occasions on which your trusted friend says that at least one of the dice is a 6, what is the probability that we have "boxcars" (both dice having a 6)?

(a)

List the 36 equally likely outcomes when two dice are rolled. If you wish, you may use a 2-way table to save time. (Use reverse side if necessary.)

(b)

On your list or table from part (a), circle the possible outcomes in which your trusted friend can truthfully say that at least one of the dice is a 6.

(c)

How many outcomes did you circle in part (b)? ___ Are these equally likely? ___

(d)

In your list or table from part (a), how many successful outcomes are there? ________

(e)

True or false: Probability can be computed as (total # of equally likely successful outcomes) divided by (total # of equally likely possible outcomes). __________

(f)

Answer the question: P(double 6 | at least one 6) = __________ .

4.

The set S of all possible outcomes of a random phenomenon is called the ____ ____ .

5.

Let A and B denote disjoint events. (For example, let A = ______________ , B = ______________ .) The probability that either A or B occurs, denoted __________ , is _________________ . The probability that both A and B occur, denoted __________ , is __________________ .

6.

Let A and B denote independent events. (For example, let A = ______________ , B = ______________ .) The probability that either A or B occurs, denoted __________ , is _________________ . The probability that both A and B occur, denoted __________ , is __________________ .