Mock Exam #2

I. DEFINITIONS (10 pts)

Define and/or Discuss. You may omit one.

1. Probability

2. Relative frequency

3. Mutually exclusive

4. Rule of addition

5. Permutation

6. Conditional probability

II. T/F AND FILL IN THE BLANK (10 pts)

1.  ____For conditional probability, use the grand total of items.

2.  ____Mutually Exclusive events occur simultaneously.

3.  ____If P(E and F) =P(E) x P(F) then the events are Independent.

4.  ____If P(E) = P(F) then the events are mutually exclusive.

5.  ____The following are ALL examples of probability: 1.0, 0.2, 0.0002, and 0.9.

6.  By definition, 0! = ____

7.  ____ r = +0.23 indicates a stronger linear relationship than r = -0.62.

8.  ____If P(A) = 0.2 and the P(B)=.3, then the P(AorB)=.06 given that the events are ME.

9.  ____The equally likely approach to probability involves observing an event over a series of trials.

10.  How many combinations of 10 items are there when all of the items are used? _____


III. COMPREHENSION (80 pts)

1.  COVARIANCE PROBLEM!!

Given the above graph, calculate the covariance and coefficient of correlation. Comment on the relationship between x and y.

2.  A pair of die is rolled. Find the probability that the sum is

a.  Equal to 1

b.  Equal to 4

c.  Less than 13

3.  What is the probability that I will roll a “3” and a “5”?

4.  Who will win the Iron Bowl this year? Alabama or Auburn? What approach to probability did you use to determine this?

5.  A jar contains 3 red marbles, 7 green marbles, and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?

Use this table for #6-13

C / D
A / 14 / 6 / 20
B / 56 / 24 / 80
70 / 30 / 100

6.  P(A)

7.  P(C)

8.  P(A or B)

9.  P(A or C)

10.  P(A and D)

11.  P (C and D)

12.  P(A|D)

13.  P(C|A)

14.  Name 2 events that are mutually exclusive.

13. Are the two variables independent? Support your answer.