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(1)Math II Exam Review - Statistics. 1.. Name:. Mrs. Dri el drew Circle A and wrote in it all the positive odd numbers through 11. She drew Circle B and wrote in it all the positive multiples of 3 from 0 through 12.. A. 3.. Which of the following Venn diagrams represents (A \ B) ? A.. B.. C.. D.. B. Mrs. Dri el wants to determine the union of the circles, that is, all the numbers in either Circle A or Circle B. Which of these represents the union of the two circles? A.. 4.. Which of the following Venn diagrams represents (A [ B [ C) ? A.. B.. C.. D.. B.. C.. D.. 5.. Let U = f1; 2; 3; 4; 5; 6; 7; 8; 9; 10g and A = f1; 3; 5; 7; 9g. Find Ac .. 2.. What probability is shown by the shaded part of the diagram? A.. P(A or B). B.. P(A and B). C.. P(A and not B). D.. P(not A or B). 6.. A.. f2; 4; 6; 8; 10g. B.. f6; 8g. C.. f1; 2; 4; 6; 7; 8; 9; 10g. D.. f1; 3; 9g. Let M = f4; 8; 12g, N = f3; 6; 8g, and P = f6; 9; 12g. Find M [ (N \ P).. page 1. A.. f4; 6; 8; 12g. B.. f8; 12g. C.. f6; 8g. D.. ;.

(2) 7.. In a particular math unit there were 13 techniques used in the various algebra problems and 10 techniques used in the geometry problems. 5 of these techniques were used in both types of problems. If a student is determined to learn all of the techniques covered in the unit, how many techniques must they learn? A.. 8.. 130. B.. 65. C.. 28. D.. 13.. I.. 113. B.. 138. C.. 145. D.. Cost of a diamond ring and the size of the diamond.. II. A father's height and the height of his child. III. Having blue eyes and having a high IQ.. 18. At a high school, 85 students are enrolled in ne arts, 51 are enrolled in history, and 23 are enrolled in both subjects. How many students are taking ne arts or history? A.. Which of the following events are independent?. 14.. A.. I only. B.. III only. C.. I and II only. D.. I and III only. Which two events are mutually exclusive? I.. 159. Mark plays the piano. II. Mark does not play an instrument 9.. A.. 10.. relative. B.. both. C.. and. D.. IV. Mark plays the drums. or. A.. The union of two sets is best associated with the . word A.. 11.. III. Mark belongs to the math team. The intersection of two sets is best associated with the word .. relative. B.. overlap. C.. and. D.. 15.. I and III. B.. I and IV. C.. D.. II and III. In a particular school students take one of Math, Chemistry or Physics, and one of History or Drama. The choices are shown in the table.. or. Math Chem. Physics. Which statement is correct about the diagram?. I and II. Total. History. 94. 81. 60. Drama. 25. 30. 12. 235 67. Total. 119. 111. 72. 302. What is the probability that a student, selected at random, takes Math or Drama? (Round answer to 3 decimal places.) A.. 16.. 12.. A.. All members of Set C are members of Set B.. B.. Some members of Set A are members of Set C.. C.. No member of Set B are members of Set C.. D.. No members of Set A are members of Set B.. B.. 0.408. C.. 0.533. D.. 0.688. A survey of 200 students involved 80 girls and 120 boys. The number of students playing basketball and volleyball is shown in the following table: Basketball. Volleyball. Total. Boys. 70. 50. 120. Girls. 60. 20. 80. Total. 130. 70. 200. A student is picked at random. What is the probability that the student is a boy or plays volleyball?. Which of the following events are independent? I.. 0.394. A coin is ipped and a die is rolled. A.. II. A card is drawn from a deck and replaced, then a second card is chosen. III. A card is drawn from a deck not replaced, then a second card is chosen. A.. II only. B.. III only. C.. I and II only. D.. I and III only. 17.. B.. 0.60. C.. 0.70. D.. 0.80. A student is picked at random. What is the probability that the student is a boy or plays basketball? A.. page 2. 0.40. 0.60. B.. 0.75. C.. 0.70. D.. 0.90. Math II Exam Review - Statistics.

(3) 18.. One hundred employees in the restaurant business were asked if they favored a ban on styrofoam containers. The results of the survey are shown in the table. Gender. Favor. Males. 28. 10. 6. Females. 17. 30. 9. 22.. With only one spin, what is the probability that the arrow lands on an unshaded section or points to an even number?. Oppose No Opinion. If an employee favors the ban, what is the probability that the employee is male? A.. 19.. 0.702. B.. 0.677. C.. 0.323. D.. A.. 0. B.. 1 10. C.. 1 2. D.. 1. 0.298. The table shows the student population of Richmond High School this year. Girls (G) Boys (B). Total. Grade 11 (J). 150. 210. 360. Grade 12 (S). 200. 140. 340. Total. 350. 350. 700. 23.. What is P(SjB) ? A.. 20.. A spinner is divided into ten numbered sections, as shown. (Assume the arrow never lands on a dividing line.). 2 7. B.. 3 7. C.. 10 17. D.. B.. 1 2. C.. 5 8. D.. 1. 2. 3. 4. 5. 6. Probability. 1 4. 1 4. 1 4. 1 12. 1 12. 1 12. A.. Find the probability of one spin pointing to a shaded section and a vowel. 1 4. Outcome. When a single die is tossed, what is the probability that the outcome is even or divisible by 3?. 2 3. A spinner is divided into eight sections and marked with letters, as shown.. A.. A loaded die has the following probabilities associated with each outcome.. 24.. 3 4. 26. The gure shows the face of a spinner. The numbers are all equally likely to occur.. A.. 1 18. B.. 1 5. C.. 12 125. D.. 18 125. 27.. D.. 2 3. 0.7. B.. 0.9. C.. 0.6. D.. 0.8. 1 52. B.. 4 13. C.. 1 26. D.. 1 2. 2 3. B.. 5 6. C.. 1 2. D.. 1 6. 1 5. B.. 4 5. C.. 19 20. D.. 11 20. The probability that a student is in the school choir is 0.09. The probability that the student plays for the school basketball team is 0.08. If the probability that the student plays for the school basketball team and sings in the choir is 0.01, nd the probability that the student sings in the choir or plays for the school basketball team. A.. page 3. 5 6. In a certain city, 45% of the people have brown hair, 30% have brown eyes, and 20% of the people have both brown hair and brown eyes. What is the probability that they have brown hair or brown eyes? A.. 28.. C.. If you roll a regular 6-sided die, what is the probability of rolling an even number or a multiple of 3? A.. What is the probability that the pointer will land on an even number rst, then on an odd number twice?. 3 28. Let set A be the set of kings and B be the set of all hearts in a regular deck of cards. Find the P(A [ B). A.. 21.. B.. Let E and F be two events that are mutually exclusive with P(E) = 0:1 and P(F ) = 0:6. What is the probability of P(E [ F ) ? A.. 25.. 7 12. 0.16. B.. 0.17. C.. 0.85. D.. 0.83. Math II Exam Review - Statistics.

(4) 29.. A bag has 6 red and 5 blue marbles. What is the probability of drawing a red then a blue, if the rst marble is not replaced after it has been drawn? A.. 1 30. B.. 11 30. C.. 1 29. D.. 36.. 3 11. The principal announced that ve of the seven student government positions were lled by girls. Knowing this, what is the probability that both the president and vice-president positions were lled by girls? A.. 30.. 37.. 10 21. B.. 5 7. C.. 8 15. D.. 9 13. There are 5 socks in a drawer (2 black and 3 blue). What is the probability of pulling out a matching pair? A.. 3 10. B.. 2 5. C.. 1 2. D.. 4 5. 38.. A set of geometric gures consists of a square, a trapezoid, an obtuse triangle, an equilateral triangle, and a right triangle. If one of the gures is selected at random, what is the probability that all of its sides are congruent?. 39.. Each letter in the word “MATH” is printed on a separate card. What is the probability of randomly selecting a card with a letter that has line symmetry?. 40.. A circle is inscribed in a square whose sides have length 2. If a dart hits the square, what is the probability that it will hit inside the circle?. If one of the 17 equally likely outcomes in the sample space S is randomly selected, what is the probability that A occurs? A.. 31.. 5 17. B.. 12 17. C.. 3 17. D.. 7 17. A hockey goaltender has a save percentage of 0.920. This means that the probability of any single shot taken on the goaltender being a goal is 0.08. What would be the expected number of goals scored on this goaltender in a game where she faced 35 shots? A.. 2.8 goals. B.. 1.3 goals. C.. 2.0 goals. D.. A.. 33.. A regular die is rolled ve times. Each time it comes up an even number. What is the chance that it will come up an odd number on the next roll? A.. There is a 50-50 chance.. B.. It will continue to come up even.. C.. There is no way of predicting the outcome.. D.. It will certainly come up odd.. 34.. B.. 150%. C.. 42.. 0.95. D.. C.. 4. D.. 4. 1. p. B.. p. 1. C.. p. D.. 1 p. Which event has a probability of zero? A.. choosing a letter from the alphabet that has line symmetry. B.. choosing a number that is greater than 6 and is even. C.. choosing a pair of parallel lines that have unequal slopes. D.. choosing a triangle that is both isosceles and right. 0. If a coin and a die are tossed, what is the probability of getting a head on the coin and an even number on the die? A.. 35.. 1. 1 4. If the probability that an event will occur is p, what is the probability that the event will not occur?. A.. Which of the following cannot be considered a probability of an experiment? A.. B.. 1.5 goals 41.. 32.. 1. 1 8. B.. 1 4. C.. 1 3. D.. 5 12. If the probablity of making one free throw is 60% of your free throws, estimate the probability of making three in a row. A.. 20%. B.. 40%. C.. 60%. D.. 80%. page 4. Math II Exam Review - Statistics.

(5) Problem-Attic format version 4.4.210 c 2011–2014 EducAide Software _ Licensed for use by [email protected] Terms of Use at www.problem-attic.com Math II Exam Review - Statistics. 06/30/2014. 1. Answer: Objective:. C S.CP.01. 14. Answer: Objective:. C S.CP.05. 2. Answer: Objective:. C S.CP.01. 15. Answer: Objective:. C S.CP.04. 3. Answer: Objective:. C S.CP.01. 16. Answer: Objective:. C S.CP.04. A S.CP.01. 17. Answer: Objective:. D S.CP.04. A S.CP.01. 18. Answer: Objective:. B S.CP.04. 19. Answer: Objective:. A S.CP.04. 20. Answer: Objective:. A S.CP.06. 21. Answer: Objective:. D S.CP.06. 22. Answer: Objective:. D S.CP.07. 23. Answer: Objective:. D S.CP.07. 24. Answer: Objective:. A S.CP.07. 25. Answer: Objective:. B S.CP.07. 26. Answer: Objective:. A S.CP.07. 27. Answer: Objective:. D S.CP.07. 4. Answer: Objective: 5. Answer: Objective: 6. Answer: Objective: 7. Answer: Objective: 8. Answer: Objective: 9. Answer: Objective: 10. Answer: Objective:. A S.CP.01 D S.CP.01 A S.CP.01 C S.CP.01 D S.CP.01. 11. Answer: Objective:. D S.CP.01. 12. Answer: Objective:. C S.CP.05. 13. Answer: Objective:. B S.CP.05.

(6) Teacher's Key 28. Answer: Objective:. A S.CP.07. 29. Answer: Objective:. D S.CP.08. 30. Answer: Objective:. A S.MD.03. 31. Answer: Objective:. A S.MD.04. 32. Answer: Objective:. A 7.SP.05. 33. Answer: Objective:. B 7.SP.05. 34. Answer: Objective:. B 7.SP.08A. 35. Answer: Objective:. A 7.SP.08A. 36. Answer: Objective:. A 7.SP.08A. 37. Answer: Objective:. B 7.SP.08A. 38. Answer:. 2 5. 39. Answer:. 1. 40. Answer:. D. 41. Answer:. A. 42. Answer:. C. Page 2.

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