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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.