Download Mock Exam #2 I. DEFINITIONS (10 pts) Define and/or Discuss. You

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.
8
6
4
Y
2
0
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
X
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
A
14
B
56
70
D
6
24
30
20
80
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.