{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

42_20110422fri_mgf1106_86367_p11

42_20110422fri_mgf1106_86367_p11 - [3 We [email protected]

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: [3:] We wished @working yams far“ W4 ($4.464) fig? ii] I am affinfiffig worked prgblem fwm “WC Hand moi” F221. :1 L“ It i: («is a: 32%?! @1311 "123:3?! %-&m' C ’W a W @ The filial Bflflm :3 WW5 -' 4/28/fl ”d '1‘": 50¢»- Fl” 330% (Ea our nomad cfassrm- 9M3 phm‘o ID and 1H} pencifis. 3M3 cafcufmcfl‘”. Remember~ Ala one 3% mid Exam affer 13mm (9mg. Kemeww - qudq 9255!.” (if Learamq Cémmamf: MGFILOé—H Wed.4-/Z? 9~I¢>am La 2:63 (‘geahfia h'mffed as :35). can’t; H l ffl—fi . I? as mgf1106 85367dougstest®p1. oc/l page of 8. Evaluate each factorial expression.‘ ¢ ” “49““ 320 (8-) _§—Si- "26 e- -<o>.[1§)=mo il.’ w 9. Usethef_ormula P— — to solve the following question. (/ (11 Mr)! For a segment of a radio show, a disc jockey can pla 8 r o us. i there ar 11 r®oz select from,[ in how many ways can the program for this segment ‘- - W5. Fem The program can be arranged in {g E 2800 ways. I l @l PB, 2&2! 10. In how man distinct we 3 can the letter word®e arranged? All! we ~—.—~ = 3m 11. You volunteer 0 help drive c II ren at a charity event to the 200, but you can fit only®f the @ hildren present into your van. How manyML/ different $40 ”pf/T 0: Z ildr e fins”: drive? 9“ d”? | ‘ ‘ C 34311 sImloo MC}: at?! 293' ‘ 2- IE'M'Z‘)‘ H 3 . s 3432 nl — [email protected] l h . [#3 r (114)”! an tosovet egivenquestion. [96;] }\ 6C3 we mfit in how ays can a oéegnd t ree wome be formed from a group 0 nine me [email protected] Es / x A committee of three men and three women can be formed from a group of nine men and six women in different ways. 13. esthe"t_heoreticalmprobabiltty formula to solve the following problem. Express the probability as a fraction reduced to lowest tefi'hs) S A 1éisiaaaaraisisi'isé. The set of equally likely outcomes is {1, 2, 3, fl 6, 7, 8, 9,1 0,1 jltz} . Find each of the following probabilities: 12. Use the formula to ”C (1| _-—-‘ (A). The probability of rolling a 1 is lg, . (B). The probability of rolling a number less than 12 is 3 r. 3 (C) The probability of roliing a number greater than 3' Is I % 4. (D). The probability of rotting a number greater than 21 is . / mgfi106-86367dougstest4a_p11.doc // a e 4 of 5 ’ / t/ / C :) 1‘4. A fair coin is tossed three times in succession. The set of equally likely outcomes is ’3':{I§H :_HHTI{J/[email protected]€H,%T91T,}TH TTT}. Give your answer as an integer or a simplified féction. Find the probability 0 siting: tr}: 8 (A).e <xa-c9 one taii- 3/“ (B) a tail on the third toss (Hint: rememberthis doesn’t mean a tail on the third toss only!) ' i '2 3 4r '3 (a ‘ 15. Jim, tan Katrina Kim, Tyrone Larry. and Sirfione have aii been invited toa dinner party. They arrive randomly and each persongaflrrwflefis at a different time. - 6 m (A). in how many ways can they arrive? 5049 (B). in how many ways can Jim arrive first and Simone last? (C). Find the probability that Jim will arrive first and imone iast. (Round off this probabilitL 46 4 decimal piaces). ‘ J, 16. A group consists oémegnd {Jen wofi Three peopie are selected to attend a conference. 2' 5% (A). in how many ways can three people be selected from this group of thirteen?- l5 CS T 2 (B). In how many ways can three women be selected from the seven women? 1 03 : 35 (C). Find the probability that the se ectéd‘g oup will consist of aii women. I i224 (Round off this probability t __4_ decimal aces)“; s tecTe find the rehab Ity fseiecting fou emo rats and threefie blicans. (Rioun fitthbba o4deCI al places) V (J, 3549 — MC? 1 8. The math depa nt of a coilege ha 5 male professors female professor [12 male teaching assi tan female teaching assistantgii‘a person Is seie a ran omt e group, In the W that t seiectedw person Is a teaching assistant or a femaie. (Report your answer as a reduced [a X fraction. Emit Fetita 17. A city council consi sjiven Democrats ndéseven Republicans. a fcommitte seven peop I 27' 19. One card is randomly selected from a standard deck of 52 cards. (39 (A). Find the odds [email protected]\@of drawing a spade. The odds are to. _ _ ~— iii I lT-Jre‘ -2; Ma 21 (B). Find the odds against drawing a four. The odds are to [I Q? (C) Find the odds against drawing a red ace. The odds are a "to L 35.! 9 l' 3 (pater, Minter) Oi? (AW/“9'” FOR) 5032 ) 485’ 4 (2:2, lZi l mgf1106-86367dougstest4a_p11.doc ll page 5 of 5 20. The wi er of a raffle will receive a 78’ 8” Bertram 800 [email protected] affle tickets were sold and you purchase®ickets what are the odds against your winning the J It“ The odds against “piling the yacht are to . (Remember to “reduce" if possible). . ‘. , O O 9 " c: ......................................................................................................................... 21. (Bonus) if you are giveJ/orcicgnf 4 to 5 tn favor of winning a bet, what Iste probabtittyE‘ mmngfite bet? (Answer as a simplifi (113 c.0n) 9 ‘fiig 4 155%. 9 00ch . 7 _ CountinglProbability Unit ,_ _ @ - Counting Methods Handout —— Use after 11.3 "ecide whether each of the following is a permutation, combinatidn or a counting princlpie problem; Do notdo .e actual computation with the formula. but write how you would solve the problem. +— Actwiiig , .1?“ jélitj‘ it“ For example: 10P3 . . . gal/lie . 1. Four identicai prizes are being given to four lucky people. These four winners will be chosen from . * ) i 12 contestants. ow m n wa s can he rizes be awarded? “L 4' ”if”! ‘1 OW“! 5““3 5'” Prfle‘g CW 659‘ i204 as iziyfgjq'flz LQXU- F'g /E4r/3"X| I i 2' ”.45 (car amp/y ,2 C4 —.—. 495 an cai‘crthc'hfl‘), 2. License plates are made using 3 letters followed by 3 digits. How m lates can be made if repetition of letters and digits is allowed? EE‘E'Zé s 17640419 - :35 $16,000 —.....-. - 1/ 3. From the class of 15 students, a President, Vice Piesident, and Treasurer are to be elected. How many . different sl , f officers are possible, i he may hold more than one office? l5 Fifi/C 3- Order; ”Park”? in; P3 5 2 30 er Eifliifii’. ,- 2.;t30 . 4. A delegation [email protected] must be chosen from a college to attend a convention. How many, n at f h f different delegatiorgc n be chosen if there are eligible students? ,ro Flat 5", “cielegq on ~ 0 9'“ EL ’ 1P - Candid- ‘ ran': 31 or“ lei/(9593}; 25?. Sr (firsfir2'7r‘JICK'iIf/l) '5' 34.7.4 236's}- 5. -unners compete in a race for which there will 5E: grit and second prizes. in how many ways may - the pri be w'on? ‘ii Pitt? 26”“4—5 ”iiPi» Perm“ “ “#92: (W ,1; gr; 1’“ 2' . 6. License plates are made using Adigits followed by; letters. How many plates can be made if repetition of both letters and digits is allo he first digit cannot b_e_ 210? 3 ilfl'm’” 5: gig :9eieoO-267': 63084 000 W ._,.__‘___—__ - - r o i ‘ 2 2 t: 2 7. if you flip a cornfi times, how many total outcomes are there? 3. .2— 31 3— - 2 Q ” A city soccer league has 7 teams. In how many possible ways could the league assign the first and s ' '2 ¥ 1‘ - é - "—“ econd place trophies at the end of the season. .1 ”W t 5* 2 , _ 9. The Math Club at TCC is made up ofggpeople @nales and®emales Suppose the club eiects officers for President. Vice President, Secretary, and Treasurer 'nd_t e number of ways t electt officers, if each must be a 93339- 22 . 2' ' 3° ' LL: l 5 566 22 {”5" it 22 i3} "“5560 i» W T T 10. A box contains grad balls, 4 white balls, 2 yellow balls, and 1 green ball. in how man; ways can you randomly select 3 white balls and 1 red ball? (4 (23% (3C, ) 2 “P“‘s' :33; trfiimkl enter NOW???“ 11. Six high school seniors are to be selected from a group of thirty high school seniors. Each of the six will receive a free ticket to Grad Night tWalt Disney rid—Hewma s can he selection be made. Prizes the gamejse meter “61' Mtg: ' 30 PH— 6 3o CG: -'= 5’93, 37*}; er Bot/(24M!) e 5931'HL5 12. Ten people volunteer to work in a brain bowl competi ion. niy our are needed to work. One would act as moderator, one would keep score, one would keep time, and one would be a runner. Assuming all ten people could perform all t e-tasksrb many w oucht assign may; mgr. {OPICA‘L mm: 5040 re re! 6525040 or 13. Mrs. Brown is giving a bridal shower for a friend. Due to her hectic schedule, she decides to hire a caterer. The caterer offers Wedges and .12 desserts. Mrs. Brown decides to choose 3 3. 4 (c appetizers and 2 desserts. How many ways can these selections be made? , ,2; a-‘h x K125} .- (O , ‘ .. J: Qi-beoién' "\-.-—"‘" X —-* Mk7€f003xczc2i“ xii-'7‘," 1' ‘7‘ I _ V . (3! [D 2 . s can seven childre line u ? 7' ‘ .. -- 14 HOW ma 940}! n '12 ‘uf‘fgrLJngcfihé-L '1‘;ng - :26 K H _ ?‘(_c,- of ¥Vi=§eqo or Answers: 1. 12Q; 2. Counting Principle (CP) —26-26026010-10-10 3.15103 or CF ‘ 4. 10C5 7102 or CP 8. CP—9'10010'10026'26 7.CP-25 8. 7P2 9. 221194 10, 4C3'3Cr ii. 39C6 12. 10134 13. 10C3'12C2 14. 7P7OI‘CP CountingIProbabiiity Unit . 6/? Conditional Probability Handout— Use with 11.7 One hundred students were surveyed and the resutts are recorded in the table below. < — Takin 1-6 hours kin- 7 12 hours akin- 13-18 hours Ta FAMU 7' ”2100 ~ if one student is seiected at random, find the prgtghiiity that heatshe: she /he ' 3m?” 5'93” E 7 V ng ED 25 ' h (g): 1. lsaFAMUstudent. P(Et>= “(5) 1‘ 1-5:: I t‘ our “Bhutan 'fb EDI? [if graham") E2 is a FAMU student iven that the are takin 7-12 hours i? ‘ - i . '93- y 9 ' ( géré:j: {7(FAMHI7fll): %;Q E 3. ts taking ?~12 hours, given that the are a FAMU student. . - y We) = Petal mu) ”3 (new mm +0 “it E4. is a IQQ studentéfia E§U student. 101 35‘, 25‘ fl 3 FAAE FM“ 3 131.1545:- 165 ‘ffi-‘z‘ E5. is taking 13-18 hours, given that they are a TCC student. . 5 _ _t_ E _ 13(55): Watt-cc} "2e « 8. Is an FSU student takin 13-18 hours. E P655) :" F’CFSQ and. l3/Isg): i3floo =- Q/EQ . ' -6 h ' t . '_ ~ : LB t ,_ 7 is $33931“ gyisbgfien: 2%; arfp§5E§[email protected]%Et%1t-b F5“ winch so. a 3 r E 8. is a student FSU or FAMU or ch. ' L’ (90355 i ’9. is a five ye old student in Mrs. Nash's kindergarten ciass. £90393 = @ E10. is a mo student, given that thefiking 7-12 hours. (st/,2 {m B a calm“; PCE:¢\ :- PCTCCl 7/11) -; ZO/él For each of the following, a single card is drawn from a standard deck of 52. Find the obabiiity that the card: , 3 - 33 .2 3.233333: 11. Is a heart, given that it is red. (Veshict‘tfifitkw, “ls 7390‘ CW PCE" ' 24 26 red ._ J1 : 12. is red, given that it is a heart. P(E.L\ = Pfie“ l F’WJ‘) ”" '3 © 3 Pictures '2 statuses 13. Is a picture card, given that it is a club. Pain) [email protected] W cm“; 3 _. club i new“ : E" g 4 ”kid we 14. is a club, given that it is a picture card. 1905.43 = P( A bag contains each of the numbers 1 — 20, written on separate pieces of paper. One numbeflrris selected at 'h-—-t—_ random. What is the probability that the __ mber chosen is: l0; H) ‘3’) [3215) {51%; 1.1L) L3; ‘9’ 1° ‘ ( >— e :9 ’ 15. An even number. P 515 '-' 20 _ ,6 1 (Mt. LLT>9) :- ' 16. An even number, given that the number selected is greater than 9. 4905”,) t F (em I M L " _ . 3 17. An 11, given that the number selected is even. P (5:23 5 ‘3 (0” MP5)“ * 5 9 18. A number greater than 9,.that the number selected is odd. P ( Era) ~“ TE 5 my?“ ') 3) 5) 7'5 32.2) £31313, 1: 7/; Using a standard deck of 52 cards, you are to draw two cards' to succession without replacement. Find the Conditional Probability continued fd FObabillty 0 FaWIHQ 3 4 .5qu of? £2 for 1.3—I draw K (Md) fiugéfldfiw 19.TwoKing$. 190519)” 3 1! xi— 2. I? ,1 6 20. A two first and a picture card second 4 52) I: H"— X "d" 1—» '= i lg 7- ”L K._' “t. 21 Twos ades .13 P62 0) :@ P(Cao) 52 “ 5! :5 1? PC (523 51 9' _ ”L . q (215) 12090911"D x zgggggargfggangggcmd m 95133336111221 P111114 mm 23 The first 1.511015% face carda 9 3c 'h’iefi? an“ ““1 9' ”"1"“? I the ond is not a face card. _§z ’P(Eza> _. 4: x 39 : :0 x, 1% "(1%) 2;; Mcnmf'au: (Md; A BRAIN STRETCHER: DRAW 5 CARDS IN SUCCESSION WITHOUT REPLACEMENT. FIND THE :CJBABILITY OF DRAWING 5 CLUBS. ' I3 12 II {o 9 {31/211 1&9 __ 13R; :@ EXETXZF:W¥?§ ” 52 5150- 49.99 ’ 3st w 7 49 91-21) - 33 w(fl¢11k\®/(fiffi3\q +3.5. 49% 66011 9 .nswers 1.}— 2.1 3.12 4.2 5.}- f3.1 7.1 8.1 9.0 10.& 11,1. 4 3 25 4 8 so 35 51 2 12 1 13. i 14.}— 15. i 16. 3 17.0 18. -1- 19. "-1— 20.1L 21. i 13 4 2 11 2 221 221 17 22. i 23. Q 24. 33 orz0.0005 51 0 I12epraI1M‘ CflIfimIL'I'II’“ $3” Z‘I. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern