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Unformatted text preview: blame fiz¥ BIOCk _ Date —— — #— Algebra 2- Statistics and Probability Chapter Review Statistics- Calculator Allowed with Applicable Work For exercises 1-4, tell whether the data that can be gathered about each variable are categorical or numerical. 1. months of the year 2. grade point averages éiaaicrifi'cag 3 a commuter 3 mode of transportation 4. a person’s annual salary I} ’e . u" . fit but 1" MM Maia, was For questions 5- 6 a surve ituation is described. Identify what type of graph would best describe the resulting data. 5. Suppose a survey is to be conducted to find out the average number of hours students spend doing homework each night at Air Academy High School. Every fourth student on the school’s computer list will be selected to participate in the survey. This should result in a sample size of about 250 students. (Box ’Pib‘i’ 6. A car dealer wants to survey its customers a month after their vehicle purchase. The manager of the dealership divides the list of new owners by the type of vehicle they bought (SUV, car, pickup, or minivan) and then randomly calls ten people from each list. Ba/ CW W 5r CM/(a {inf/IA 7. Numerical data are often displayed in a(n) lei/€55 gram or 301) “—EGK We“? G“ E Price/Q data are often displayed in a bar graph or circle graph. 9. In a relative frequency histogram, th horizontal axis shows miUV “1.5 O‘c' mm bio/5 . The vertical axis shows W How may] 0W «For wqu} For 10 — 12, use the box plot. m H—l—l—l—H—l—H+ +|Jrl~> 12 l3 14 15 10. Between what two numbers do the middle 50% of the data fall? (fig M “(fig 674 is tie 36193) ’7‘/' rateéilélCM 11. 25% of the data is greater than what number? 2! Li! 3de Vi ‘ i 4 12. 25% of the data is less than what number? ’7 13. The table below shows the bushels of corn produced per acre on certain farms in Iowa. Identify: . ' , 7‘ 7 7 7 7 7 F Bushels of Com Per Acre , a) 5 # summary 4‘11”? " I??? 7149?, :r / gag/414743417 '2 79244- if armA 150.4 Q; 1: [£27 [max '5 /é‘%g 118.4 77) 77747777 757., 7:7 74 120.6 Farm D 135.7 C) standard deviation /“’7‘L 27/25 Farm B 139.1 164-3 d) mode ~74 134.2 138.1 4) range 7277/73 77/8477" ‘7’52‘?’ 119.5 ,4 4 _ 150.0 f) interquartile range Q; "(77), 5‘44? g: 7 g) any outliers, Show work to justify 7",§”"J[,;>fi: : (,7 5") (24; 4/) 3: 97/, / 4:57 5‘79 > Q5 1" £91499 41147 17‘ 14 44), " 7f 5347/24 (7:93 (“9‘7" /: W‘f/ 4/7/4571 are 42:0 T190 77 74;er 77171-44 {ii} 77’: 1’14 /,5f - ('7 7—77.77 7445’ “““ 744.4 4 , ”477 h) drawabox plot of the data in iii/624 9/” a I [/2 47:33-44 744417441747 74:4 7517‘ ”77777777,, 7777, 7777777744444 774;“ 4 444,?73 [1737‘ 720 i573 I‘fa ISL ’90 ‘7‘) 77777774444444.4444 i) Which farms fall within one standard deviation of theflrnean? ‘95 G}; D }H 1E1 I, 14 137707 477.273- 2 {12. 75"" 147,44 7+ 747, 2 7,34 :4 77/7 2 777 j) Which measures of central tendency and variability are best for this data set? Explain! (:1,me 717mm {177 centrcaf {434774184124} 95644147ch 4177571? (we :10 4247714124372: Cheese 514717114474 7:14:14?th Q7 4747, ta brief) Sit/7.41- 11" «tel [(1 J“ 1147.47 €124? 5Pi€€€bi ‘(fi 4‘79”," (I f 177m 1147 71167171 14. Transfer students to a new high school are sometimes given a standardized test with a mean of 100 and a standard dev1ation of 20. To two decimal places convert the raw scores of the following students to z scores: Alice—-105 B0b—-72 Carol--142 David-~1 33 I Elliott——95 1059““ (0G 7, 4/” 2, UL} ' 4.4 9 , ”44 '\ .4 . ”2., 7,} 1“ 44:27.49“ 44 ‘4 15 7 ”:77!" : rel: 9" iiiii :1. Z: I iiiwjiib f {Jévsv' ((937771? 3 ”4' 215 t} ' L1: 26 l" 24’) 15 John weights 220 pounds; his dog Fido weights 9Q pounds If human males weigh an average of 185 pounds with a standard deviation of 20 pounds and all dogs of Fido' s breed have an average weight of 80 pounds with a standard deviation of 5 pounds how do John and Fido compare relative to their populations with res ect to wei ht? p g 42.7243 47 W5” ‘7‘77 7 9‘3 74“ (7171441417? .2 r ‘77:? [£1] a 7: 445444 :4 “é“ : 2 .44....4M L 5} 7’ 71.73” 7394747 '7 2 (01M; 951116“ {9 Yi‘él‘i’ 9 ”’9 fix/74 (74 96M! 515741444447, abundant 724/744: 7447 47:74:: 444’ 72771 717 777471: Probabil - Calculator Allowed 16. How many different outfits can you make from 4 shirts 2 skirts, 2 belts, 3 pairs of socks and one pair of shoes? fi’ :212131i 3/9}??? «W 121M .1 1111.1”... “baggage. Wm 5m 31:14 13:11 says 311621 17- 10C2 95" 8‘ 16P6 g7é‘? ngjfcj] For 19 - 25, determine whether one should use a permutation, combination, or the multiplication principle of counting to solve each of the following. Then, solve the problem. 19 Suppose 4 students are entering a vehicle with 4 seats. How many possible seating arrangements are there “CM «2..an 1 1. _ if any of the students can also be the driver? q 3 1 m . ’19, 631! (“f [I 1” fimxflaa .1 ,- W 7 1r 20 How many license plates begin with two letters followed by four digits? Assume that 1119.5.“91‘3193 digits are repeated 21¢ 23 (,3 g; 7 1.11 11.111.1111:} 11 1.. NW“ . r; S a l 0 r 1r D27 £2 0"! (A CM“? i I 4" 11... D 11.15... b ,3; 1111111111...- 11.1111 11.11.1111 21 How many different sundaes can be made by choosing 3 out ofitgppings at the Sundae Bar to put onto vanilla Ice cream? gate’wwtw f we ates” 22 How many ways can you put 5 out of 20 CD’ 5 into the CQ changer In your car? fl?“‘“711<a;aj 11 1111 111111 1111.11.11 11 111.111 Per mafzcfim 23 Your little sister wants to color a picture for you. She has crayons that are: red, blue, yellow, green, black, white and purple How Inany set of three crayons can she choose to color the picture? ir/it’f 15113111117; fmt'g'fy’ 51161 Jut jibe??? W (fie/1W 7 CB’ ”[33: @é‘M'é/hfi“ (66W! :11 24. W any ways can an employer choos 12$ ve employees from a pool 91:12 for fivefiifferqe‘ntqiob \ (assignmen nts ,2 :f 1.111111 1 WW WW 1. k 11 ‘ x , 1 1 . 4" 1 { K15 afibaéi «1121772315 12.3 “”"‘ «£3: .312 w . fjéii jaw jmi Jar/3 11:7 3:5 25. How many distinct arrangements are there for the letters 1n the word PRINCESSES? 11'3”“? Heated For 26 — 29, find the probability of choosing each type of card at random out of a standard deck of cards. Write your answers as reduced fractions. 26. a Jack 27. not a Diamond 28. an 12:19.?ng a 1‘39 29. aublaek non—face card inl—L 11537.25 ‘5? 21. 1332125” 5?» '3 5'2 I a: ' 72‘" 2 1/122 30 A spinner is divided into 10 equally sized pieces Each piece is number with one number from one through ten What 13 the probability of obtaining a multIple of four In a single spin? 2.... j in? 3‘ (Q 5 3 “mam“, 31. Karl attends summer camp each year and he tries a new sport with each visit. This year he decides to take up the sport of archery. When he begins, he just concentrates on holding the bow correctly, lining up the arrow, and getting off a clean shot. At this point, Karl is equally likely to hit any point on the target. a) At this stage, what is the probability that Karl’s arrow will hit the bull’s eye (assuming it hits the target)? Use the target at the right where the radius of the bull’s eye is 6 inches and the radius of the entire target is l Iii/aches 531311.555 Wm :7 “Kilt-)2: 3 Egg/55:” A 5 (15)" 55575 b) What kind ofprobabil m1i1~y IS this? Why? (5.1115555 minim 1,1315 [2411‘s cit 51554"! 75 £5 51515 11511; 351021551: 551115551 1711 17 c - what" {151111511 Wm 32. After several days of practice Karl’s aim has improved considerably. Today, Karl hit the bull 5 eye four out of eleven tries a) What is the probability today that Karl will hit the bull’s eye? 57‘ .W I / b) What kind of probability is this? Why? 55565555515555” 151111125 5111155 1:11 5:151:55 1565555 3‘5 55/555“ For 33— 36, an experiment consists of selecting a card from an ordinary deck of 52 playing cards, noting what it is, returning it to the deck, reshuffling, then selecting another card and noting its identity as well. A— ~ the event that the card is a spade. ”/52 " _ . B —= the event that the card 18 red. “25751 ' ‘55: (5.3» iii/5355455"? 1355’ £55“? 7455757 2: 4555515“ éiigél 5" 25254?“ .-1 C“ —— the event that the card is a face card 13?: ,3 Find each probability. Leave answers as reduced fractions or decimals. 33 HA 5E3?) 34~ ”A 0513) 35. P(A and not C) 36. P(notB or C) NA) . 9(5) 5(5) + (3(5) pray M11111 1:) (5111515): 15(6) Eag‘kri 3’54.» 11!. . . {1 . i g: 93' 5‘" El LIE] 1. 51 .7}. [3% 21:“ 7:1” , q .. 37. In a restaurant, 1-1 computer randomly assigns a server to one section of tables each day. If there are 5 secti ”and nly oneaby the Window, what is the probability that George will be assigned the window section d ’W aysj ”v Peltcfia’ ifs? 1:153 Wi‘fltluv ) 1:111 , 1.111 11.11 1 111.111 1...... ’ WW»... I! M 5&;§ [71852;]! _ ,1,NSW»RNKN 111—.— . 38 A cup manufacturer lS contracted by a restaurant to put a )scratch off message on the side of 19% of the large drink cups indicating that the purchaser had won a free hamburger. In each of two visits, Marlon purchased a large drink cup. F 1nd the probability that Marlon Wins exactly one hamburger 1 1i WM M 1112. 111» r ‘5 i 1151 {5, 1L MINA“ 2'” é ”4+ 3 (5% W31”, 4 1.1-55.1! i The table below lists the kinds of volunteer work undertaken by students at a high school on Senior Service Day. Suppose a student participating in Senior Service Day is chosen at random. For 39 —— 42, find each probability. 39. P(green team) ,5 40. P(soup kitchen) a 23 / RSV :(2412 Haws, Mil» ”fir m 41. P(day care I blue team) 42. P(red teaml gardening) £1; ‘3 1(3):: ‘3) 3 ,3 ‘fé: 1 g x ,. , a)” '7‘ ' 3 L“ w 7% finish fig?) i155" Hi} ’53 1‘31: For questions 43 — 45, a bag contains fired/marbles, 6 yellow marbles, andflyfigrréenpprbles. Two marbles «emf-M», My,“ are selected at random, one after the other;Without“rewlacement. ’7‘”? 43. What is the probability that the first marble is refining; c 1—1/3 l ms (5” 44. What is the probability that the SEEQEQQEEQEISgreEIEQVénthgthfiflfifiifilfid- ‘/ :1, “f; I 7;“ 7 45. What is the probability that the firstflmarblewi‘swred (afflfihe second marble isMgmwen? gs;— ‘ 7’ 'L a. l 133%?!” ”3" fl 5% w E} 46. A standard deck of cards consists of 52 cards. Suppose two cards are drawn from the deck, but the first card 13”“. replaced before the second card is drawn. Find the probability in each of the following scenarios. I “My? 80 Bothsaséfisreiaglse j. i —; WL / runwww fi-Z 6 S ‘ 22- [J b) The second card 1sared4efiventhé‘v firstcardlsan ace- c) Exactly one card is a queen. (Ci; émt zen?) “A (if 2“”! 6?) 7’ 7s ,4. . 1, :7: 7: 33 ‘57:”. 5‘ “”2"" 9.2 f” 22‘ g; 2._ 9: t M ...
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