ࡱ;  R FYnICompObj\WordDocument \&ObjectPoolYnIYnI  FMicrosoft Word 6.0 DocumentNB6WWord.Document.6; ࡱ; Lࡱ;  dxpr  "  currentpoint ",Times .+2m/MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 r_905532743FYnIYnIOle PIC LPICT oll sub 224 div 416 3 -1 roll exch div scale currentpoint translate 32 60 translate /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 224 /Times-Roman f1 (2) 26 152 sh end MTsave restore d!MATH  2ࡱ; FMicrosoft Equation Editor 2.0DNQE Equation.2ࡱ; ࡱ;   2ࡱ Oh+'0 @` f r ~CompObj YObjInfoEquation Native  1SummaryInformation( ܥhS e\&  @!@!@!@!@!P! Z!(@!'%[!!"!!!!!!$%%%%%%&%X%'% ! !!!!'%! !!!!!! ! !$ !6 !$!A! 1. a) Draw a stem and leaf display for the data set: 15 35 31 27 16 34 16 13 22 35 b) Write down any three data points (that are not equally spaced) and calculate (i) their mean _______ (ii) their median _______ Is it possible for the mean of a data set to be larger than its median? YES NO (Circle one) Is it possible for the mean of a data set to be smaller than its median? YES NO (Circle one) 2. A sample of 100 students enrollment in three courses A, B, C yielded the following results: 64 are enrolled in Course A, 60 in Course B, 50 in Course C 39 are enrolled in both A and B, 31 in both A and C, 33 in both B and C, and 23 are enrolled in all three courses. (i) Draw a Venn diagram to represent this information. (ii) How many of the students are taking exactly two courses? (iii) Given that a random student from the sample is taking Course C, what is the probability she is also taking Course B? (iv) Is the event taking Course C favorable, unfavorable or indifferent (independent) for the event taking Course B? (Circle one) 3. a) Suppose a discrete random variable X can = 1 2 3 4 with respective probabilities .1 .2 .3 .4 Find (i) P(X is odd) (ii) E(X) (iii) E(X EMBED Equation.2 ) (iv) Var(X) b) Suppose a cereal comes with one of 10 different coupons, one random coupon in each box. If you buy 6 boxes, what is the probability (i) all 6 coupons will be different _________ (ii) there will be some duplicate coupons _________ 4. a) Suppose accidents on a worksite obey a Poisson process averaging 5 accidents per year (365 days). What is the probability that there will be no accident next month (30 days)? __________ b) Suppose X is a binomial random variable with parameters n = 48 and p = 1/4. Exactly how many possible values of X satisfy |X-12| 8? ________ What does Chebychevs Inequality tell you about (i) P(|X-12| 3) (ii) P(|X-12| 8) 5. a) A manufacturer claims only 5% of its computer processing chips fail within the first month. You test 20 of the chips and find that 4 of them fail within a month. So you suspect the claim is false. What probability would you compute to give a numerical value to your suspicion? Compute this probability. b) You deal a poker hand of 5 cards from an ordinary deck of 52. What is the probability it contains exactly 3 spades? _______ PAGE  PAGE 5 8|HH(EG(HH(d'hࡱ;   < #JXϱ(4~'a17Power Mac 7200:Applications:Microsoft:Templates:NormalA1. a) Using the axes below draw a box plot to represent the dataUniversity of WisconsinUniversity of Wisconsin'@T <@a-I@N$QI@Microsoft Word 6.0.14; #)8r s 1uP uDPuDGU5]eKuDGU5acvK uD]]^]#78klmnopqrstuvwxyz{|}~ 345u},-./,/0ABCDEFMNO<xy[L*CDvwxyz{|}~   4 5 6 T U V L* F g h ? ~ ''''''''''''''L* : ~   & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 '''''''''''''''''''''''''''''''''''''''''''|+h8D'''''''''''''''''''''''''h`%hZZ>|"K@Normala c.@. Heading 1 < U]ck"A@"Default Paragraph Font @ Footer !)@ Page Number !    M|6  1 /  r : !! AUniversity of Wisconsin0Power Mac 7200:Desktop Folder:Lec3 feb 99 test 1University of Wisconsin0Power Mac 7200:Desktop Folder:Lec3 feb 99 test 1University of Wisconsin0Power Mac 7200:Desktop Folder:Lec3 feb 99 test 1University of Wisconsin0Power Mac 7200:Desktop Folder:Lec3 feb 99 test 1University of WisconsinPPower Mac 7200:Files:David's Files:David's Files A-L:exams:Fall 99:Oct 99 Test 1University of Wisconsin1Power Mac 7200:Temporary Items:Word Work File A 2University of Wisconsin1Power Mac 7200:Temporary Items:Word Work File A 2University of WisconsinPPower Mac 7200:Files:David's Files:David's Files A-L:exams:Fall 99:Oct 99 Test 1University of Wisconsin3Power Mac 7200:Temporary Items:Word Work File A 630University of WisconsinPPower Mac 7200:Files:David's Files:David's Files A-L:exams:Fall 99:Oct 99 Test 1@L L L K H[MTimes New Roman Symbol MArial MCourier MTimesMHelvetica"1h A @ Y!@1. a) Using the axes below draw a box plot to represent the dataUniversity of WisconsinUniversity of Wisconsinࡱ;