ࡱ> _a^q` WRbjbjqPqP *V:: \8,/2Lk.m.m.m.m.m.m.$B0h2|.9"""..'''"k.'"k.''*+ P+T,"x*O,.0/*,&3b$.&3++&3'+(hY J' < 5..'X/""""  Topics Mean Median Q1, Q3, IQR (Inter-Quartile Range) Range Sample variance and standard deviation Population variance and standard deviation Calculating mean and variance from grouped (table) data Interpretations of Probability (theoretical, empirical, subjective) Rules of Probability Complement Rule General Addition Rule Addition Rule for Mutually Exclusive Events General Multiplication Rule Multiplication Rule for Independent Events Conditional Probability Venn diagrams Poisson Distribution Binomial Probability Normal and Standard Normal Distributions calculating areas and probabilities Hints show the formulas you use show your work bring your calculator and note-card be sure your name is on the test Example Questions 1. What is the mean (average) of these numbers? (show formula and work): 1, 12, 25, 30, 42 2. What is the median of these numbers? 1, 12, 25, 25, 30, 42 3. This frequency table shows the number of cars owned by millionaires in a certain Beverly Hills neighborhood. What is the average number of cars per millionaire? No. of Autos Owned (x) Frequency (f) (work space)111223332415Total 4. What is the sample variance of these numbers (show formula/s and work) x10122024 5. A die has six faces. On a given roll, the probability of each face showing (i.e., showing '1', '2', '3', etc.) is the same. Therefore the probability of rolling a '1' is 1/6. Which type of probability interpretation is this? A. Empirical Probability C. Subjective Probability B. Theoretical Probability D. Random Probability 6. If A and B are independent (circle correct answer) SEQ 1_2 \* roman \r 1i. P(A or B) = P(A) + P(B) SEQ 1_2 \* roman \nii. P(A%B) = P(A%~B) SEQ 1_2 \* roman \niii. Both of the previous are true. SEQ 1_2 \* roman \niv. None of the previous are necessarily true. 7. The population variance is larger than the sample variance (circle correct answer): i. Sometimes ii. Always iii. Never USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 8 THROUGH 11. For each question, circle the correct answer. P(A) = 0.40 P(B) = 0.50 P(C) = 0.20 P(A and B) = 0.10 A and C are independent. B and C are mutually exclusive (disjoint). 8. P(B and C) = ? (a) .10 (b) .60 (c) .70 (d) 0 (e) None of the above 9. P(A and C) = ? (a) .08 (b) .52 (c) .60 (d) 0 (e) None of the above 10. P(A or B) = ? (a) .7 (b) .8 (c) .9 (d) 1 (e) None of the above 11. P(A|C) = ? (a) .20 (b) .25 (c) .40 (d) 0 (e) None of the above 12. For a someone who is HIV infected but in remission, the expected number of HIV viruses per cubic mm of blood is 4. What is the probability that 1 cubic mm of blood from an HIV infected person in remission will contain 0 viruses? (hint: e is approximately 2.7183). 13. 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