ࡱ> ,.+ |bjbj,, NNiiiii}}}}} }J^Jt!iii iiii_}  0Ji /:   Economics 103A Dr. Tom Means Exam #1 Fall 2003 Name_______________________________ Instructions. Print name above and return exam when finished. Do all of the problems in numerical order. Show all of your work. Answers without work or an adequate explanation will receive no credit. Partial credit awarded when appropriate. 1. Three die are tossed 11 times and the following data is recorded: 10, 14, 15, 13, 12, 10, 11, 10, 8, 3, 18. Calculate the following sample statistics. Be sure to provide a formula or an explanation for your answer. (2) a. Sample mean? (2) b. Sample median? (2) c. Sample mode? (2) d. Sample range? (2) e. Sample variance? 2. Most polls show that a majority of likely California voters favor recalling Governor Gray Davis. The state distribution of party affiliation is 40% democrat, 30% republican and 30% independent. About 30% of the democrats favor the recall while 80% of the republicans and 60% of the independents favor the recall. (5) a. What is the probability that someone picked at random favors the recall? (5) b. Suppose a randomly selected person does not favor the recall. What is the probability that they are a Republican? 3. An urn contains 4 green balls and 6 red balls. Three balls are drawn randomly with replacement. (3) a. Find the probability of drawing exactly two red balls? (3) b. Find the probability of drawing at least one red ball? (4) c. Find the probability of drawing exactly two green balls when the drawings are done without replacement? 4. (10) Biggie Burger offers extra value meals, which include your choice of sandwich, 2 side orders and a drink. There are 6 types sandwiches, 8 different side orders and 4 types of beverages. How many different types of extra value meals can you order? (Be careful to explain how you decide on the number of side orders) 5. Let Z be a random variable with the following probabilities. Z 0 100 200 300 400 500 P(Z) .10 .20 .40 .15 .10 .05 (10) a. Calculate the expected value (m) and variance (s2) of Z? 6. (10) SAT scores are normally distributed with a mean of 975 and a variance of 3600. What is the probability that someone will score between 1005 and 1065? bo- 8  UV "$&|ҾhOCJEHOJQJhOOJQJhOCJOJQJhOOJQJhO5OJQJhO5>*ϴϴ#<bX Y 8 9 z = >  ^ UVW 0^`0W68xz|= p@ @ $d  %d  &d  'd  (dN  O  P  Q  R]@  $P/ =!"#$% |HH@R(,, `Pd '?666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH6666666666666666666666666666666666666666666666666666666666666666666666666662 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~OJQJ_HmH nH sH tH <`< NormalCJ_HmH sH tH DA D Default Paragraph FontViV 0 Table Normal :V 44 la (k ( 0No List PK![Content_Types].xmlj0 u$Nwc$ans@8JbVKS(.Y$8MVgLYS]"(U֎_o[gv; f>KH|;\XV!]օ Oȥsh]Hg3߶PK!֧6 _rels/.relsj0 }Q%v/C/}(h"O = C?hv=Ʌ%[xp{۵_Pѣ<1H0ORBdJE4b$q_6LR7`0̞O,En7Lib/SeеPK!kytheme/theme/themeManager.xml M @}w7c(EbˮCAǠҟ7՛K Y, e.|,H,lxɴIsQ}#Ր ֵ+!,^$j=GW)E+& 8PK!\theme/theme/theme1.xmlYOoE#F{o'NDuر i-q;N3' G$$DAč*iEP~wq4;{o?g^;N:$BR64Mvsi-@R4Œ mUb V*XX! cyg$w.Q "@oWL8*Bycjđ0蠦r,[LC9VbX*x_yuoBL͐u_. DKfN1엓:+ۥ~`jn[Zp֖zg,tV@bW/Oټl6Ws[R?S֒7 _כ[֪7 _w]ŌShN'^Bxk_[dC]zOլ\K=.:@MgdCf/o\ycB95B24S CEL|gO'sקo>W=n#p̰ZN|ӪV:8z1f؃k;ڇcp7#z8]Y / \{t\}}spķ=ʠoRVL3N(B<|ݥuK>P.EMLhɦM .co;əmr"*0#̡=6Kր0i1;$P0!YݩjbiXJB5IgAФ޲a6{P g֢)҉-Ìq8RmcWyXg/u]6Q_Ê5H Z2PU]Ǽ"GGFbCSOD%,p 6ޚwq̲R_gJS֣9)嗛(:/ak;6j11太x~<:ɮ>O&kNa4dht\?J&l O٠NRpwhpse)tp)af] 27n}mk]\S,+a2g^Az )˙>E G鿰L7)'PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 /_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!\theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] &| W| O@P@PUnknownGTimes New Roman5Symbol3 Arial3Times9Palatino9MNew York"ffKyFB/$+xxrdn+?'s0 Exam #1 S'96KATHRYN S. MEANS Tom Means Oh+'0  < H T `lt|'Exam #1 S'96KATHRYN S. MEANS Normal.dotm Tom Means2Microsoft Macintosh Word@@1pm@"_@"_B/ ՜.+,0 hp  'sjsu  Exam #1 S'96 Title  !"$%&'()*-Root Entry F`_/1TableWordDocumentSummaryInformation(DocumentSummaryInformation8#CompObj`ObjectPool>`_>`_ F Microsoft Word 97-2004 DocumentNB6WWord.Document.8