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Probability and Statistics Review #2 Algebra IIB Name: ____________ Date: ____________ Select the best answer. 1. A bank requires that its customers create a PIN to access their account. The PIN must be 2 letters followed by 2 numbers. How many unique PINs are there? A 520 C 67,600 B 10,000 D 456,976 2. When making a fruit salad, a chef chooses 4 fruits from 8 that are in season. How many different fruit salads can the chef create? F 70 H 10,080 G 1680 J 40,320 3. A debate team surveyed its members’ ages, resulting in the data set: 15, 16, 15, 17, 15, 16, 14, 16, 14, 17, 15, 15, 16, 16, 17. What is the experimental probability that a member chosen at random is younger than 16? A 0.200 C 0.467 B 0.333 D 0.800 4. Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present? 1 F 125 1 H 25 1 1 G J 5 120 5. Using a fair coin and a fair six-sided number cube, what is the probability of tossing tails and rolling a multiple of 3? F 1 6 H 1 2 3 8 G J 5 6 6. A DJ for a school dance has a CD with 6 slow songs and 5 fast songs on it. As he plays each song he removes it from the play list. What is the probability that the first two songs he plays are slow? A 3 11 C 36 121 B 30 121 D 18 55 7. 6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich? F 0.0769 H 0.7500 G 0.2016 J 0.9231 8. The table below shows the distribution of favorite colors by gender in a class. Gender Blue Red Green Boys 8 2 4 Girls 2 7 2 Which is the probability that a student chosen at random is a boy that likes green? A 0.66 C 0.16 B 0.29 D 0.04 9.Use the table from Question 8. Which is the probability that a student chosen at random is a girl and does not like red? F 0.16 H 0.72 G 0.28 J 0.84 10. Which is the median of the data set {1, 4, 4, 4, 5, 8, 8, 10, 11, 11}? A 4 C 6.6 B 6.5 D 7 15. The probability distribution of the number of piglets per litter on a farm is given below. Piglet Births per Litter 11. The Nobel Prize for Physics is often given to more than one person. The probability distribution of the number of winners of the Nobel Prize for Physics from 1901 to 2004 is given below. What is the expected number of winners? Number of Winners n Probability of n Winners 1 2 3 0.480 0.265 0.255 F 0.03 H 1.78 G 1.00 J 1.98 n piglets Probability of n piglets 4 5 6 0.2 0.4 0.4 What is the expected number of piglets per litter on this farm? A 4.8 C 5.2 B 5.0 D 5.8 16. Use this line graph to identify the period that saw the greatest change in gross revenue. 12. Which data set could be used to create the box-and-whisker plot shown below? A {4, 4, 4, 4, 6, 6, 8, 9, 11, 11, 11} B {3, 4, 4, 4, 5, 7, 8, 10, 11, 12, 13} C {2, 3, 4, 4, 5, 7, 8, 9, 11, 13, 14} D {3, 3, 3, 4, 7, 7, 11, 11, 13, 13, 13} 13. What is the mean of the data set {0, 2, 4, 8, 16, 36} ? A 8.0 C 11.0 B 12.0 D 13.2 14. This data represent the number of books Sarah read each month: {1, 1, 3, 3, 4}. What is the approximate standard deviation of the data set? A 1.2 B 2.4 A 2001–2002 C 2003–2004 B 2002–2003 D 2004–2005 17. Which type of graph would be best for displaying this data? Actors/Actresses with The Most Oscar Nominations Actor/Actress Nominations Meryl Streep Katherine Hepburn Jack Nicholson Bette Davis Laurence Olivier 13 12 12 10 10 F bar graph H histogram G circle graph J line graph 18. This stem-and-leaf plot gives the Stem Leaves number of gold 0 99 medals won by ten 1 01467 countries during the 2 7 2004 Olympics. 3 25 Which data set is Key: 3 | 2 means 32 plotted? 21. What is wrong with this histogram? A {0, 1, 2, 4, 5, 6, 7, 7, 9, 9} B {1, 11, 23, 41, 53, 61, 71, 72, 90, 90} C {9, 9, 10, 11, 14, 16, 17, 27, 32, 35} A The bar for 40–44 is too short and the bar for 45–49 is too tall. D {27, 99, 325, 101, 467} B The bar for 50–54 is too tall. C The bar for 50–54 is too short and the bar for 55–59 is too tall. The ages of the U.S. Presidents that were inaugurated during the 1900’s are given below. Use this data for questions 19–22. D The bar for 55–59 is too short. 22. Find the mean, median, and mode. (Round answers to the nearest tenth.) Ages at Inauguration 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 mean median mode F 54.6 55 51 G 54.6 62 51 Ages Freq. H 55 54.6 no mode 41–50 51–60 61–70 J 55 55 no mode 19. Which frequency table reflects the data? F H Ages Freq. 41–50 51–60 61–70 3 4 5 G 3 10 4 J Ages Freq. 41–50 51–60 61–70 3 9 5 Ages Freq. 41–50 51–60 61–70 6 8 3 20.What, if anything, is wrong with this boxand-whisker plot? An experiment consists of spinning a spinner. Use these results for questions 23 and 24. Outcome Freq. Red 4 Green 10 Blue 6 23. What is the experimental probability that the spinner lands on red? A 4% C 25% B 20% D 40% 24. If Angie spins the spinner 250 times, predict the number of times it will land on green. A The value of Q1 is incorrect. B The value of the median is incorrect. C The value of Q3 is incorrect. D The boxplot is correct. F 10 H 50 G 25 J 125 25.This graph shows how Russell spends his income each month. Explain why the graph is misleading. 28. A number cube is rolled 2 times in a row. What is the probability of rolling a multiple of 3 both times? 1 36 1 B 18 A 1 15 1 D 9 C 29. A game board has 8 cards, and 2 say WIN. Mayela picks 2 cards without replacing the first. What is the probability that neither say WIN? F The entertainment sector is too small relative to the groceries sector. G The rent sector is too large relative to the entertainment sector. H The sample size is too small. J The sectors do not add to 100%. 26. Find the theoretical probability of randomly choosing a vowel from the letters in EXPERIMENT. 1 5 3 B 10 A 2 5 3 D 5 C 27. The probability of picking a red marble from a bag is 2 What are the odds 7 against picking a red marble? F 2:5 H 5:7 G 5:2 J 7:5 F 15 32 H 9 16 G 15 28 J 9 14 30.Which are independent events? A Two number cubes are rolled. B A coin is drawn from a jar, set aside, and then another coin is drawn. C Two freshmen are chosen for a class project. D 20 students are selected for the baseball team.