MDM 4U PRACTICE EXAMINATION

Transcription

1 MDM 4U RCTICE EXMINTION Ths s a ractce eam. It does ot cover all the materal ths course ad should ot be the oly revew that you do rearato for your fal eam. Your eam may cota questos that do ot aear o ths ractce eam. Ideally, ths should be comleted after you have comleted the fal eam revew. Your actual eamato s o legal szed aer, ths ractce s o letter szed aer so that t was easer for you to rt from home. Istructos:. Read all questos carefully.. swer all questos o the eam aer. art requres aswers oly but art B requres full model solutos. 3. Scetfc calculators are ermtted. 4. z score table ad formulas are rovded art Each correct aswer s worth oe mark. lace aswers the sace rovded.. How may ways ca 7 freds be arraged a le for a hotograh. Evaluate the followg,5 3. How may ossble combatos are there a lottery draw of 6 umbers from 49? 4. What s the sum of the squares of the th row of ascal s tragle? 5. How may arragemets of the word HOTDOGS are there? 6. How may roer subsets ca be made from a set of 5 elemets? 7. How may ways ca 5 freds be seated aroud a crcular table? 8. Joe asks hs famly to comlete a survey, what tye of samlg s ths? 9. Smlfy 7 7! to factoral otato. 0. True or False: I a double bld study researchers are uaware of who s the cotrol grou.. co s fled 3 tmes, what s the robablty that all 3 tmes t s a head?. The 75th ercetle corresods wth what quartle?

2 3. What s aother ame of quartle Q? 4. What are the odds of drawg a face card from a stadard deck of 5? 5. I a robablty dstrbuto was does equal? 6. romately what % of data les wth 3 stadard devatos of the mea a ormal dstrbuto? 7. What does H refer to hyothess testg? 8. True or False: I order to coduct a cesus you must ask the etre oulato of the coutry. 9. What symbol s used for the coeffcet of determato? 0. State the z α value for a 90% cofdece terval a ormal dstrbuto. art B Comlete, clear ad cocse MODEL SOLUTIONS are requred so that art marks ca be awarded. Marks wll be show brackets o the actual eamato.. car art s to be maufactured to a legth of 6cm. If the mache makes arts that are ormally dstrbuted wth a stadard devato s 0.cm determe how may arts wll be rejected at less tha 5.7 cm.

3 . The followg are the heghts of grade studets Data Maagemet at Grmsby Secodary School. Heght cm Frequecy a. Comlete a eteded frequecy table the sace rovded above. Use arorate colums cludg the mdot. b. Determe the mea heght of the studets the class usg the eteded frequecy table. c. What s the modal terval? d. Determe the stadard devato of the heghts usg the eteded frequecy table. 3. I the frst try out of the year, the boy s soccer coach made the team do st us. Below s a lst of the umber each studet could do 3 mutes a. Determe the mea umber of ush us that ca be doe by a team member.

4 b. Determe the meda umber of st us. c. Determe the ter quartle rage d. Determe the 60 th ercetle e. Costruct a relatve frequecy grah for the umber of st us followg the gudeles rovded class. 4. study foud that the average tme t took for a uversty graduate to fd a job was 5.4 moths, wth a stadard devato of 0.8 moths. If a samle of 64 graduates were surveyed, determe a 95% cofdece terval for the mea tme to fd a job? 5. It s curretly beleved that 70 ercet of the oulato beleve that smokg should be baed from school roerty. If a survey of 30 eole s chose ad t s foud that 5 of them beleve smokg should be baed, s ths result sgfcat to 5%? Use good form

5 6. famly of 7 sts a row at the theatre, how may ways ca they be arraged f a. There are o restrctos? b. Mom ad dad must be together? c. The oldest refuses to st the mddle? d. The oldest ad yougest must st o ether ed? ot oe artcular ed 7. Gve the two sets below determe each of the followg. {,3,5,7,9} ad B {,7, 9} a. b. B B c. 8. multle choce test has questos each of whch each has 4 ossble aswers. If you radomly select aswers. a. What s the robablty that you get eactly of the questos rght? b. What s the robablty that you ass? >50%

6 c. What s the robablty you get at least oe rght? 9. What s the robablty of drawg a heart from a deck of cards ad the rollg a sum larger tha 4 wth two de? 0. Sally ales to three uverstes for her ost secodary educato. If there s a 85% robablty that Sally wll be acceted to the Egeerg rogram at Waterloo, a 75% robablty that she wll be acceted to Comuter rogrammg at McMaster ad a 88% robablty she wll be acceted to the Uversty of Ottawa for the Mathematcs rogram, what s the robablty that she wll be acceted to all three of the rograms she has aled for?. sub commttee of 4 s to be selected from the 9 grls ad 5 boys o the school coucl. a What s the robablty that eactly 3 of them are grls? b What s the robablty that at least of them are grls?

7 . oker had of 5 cards s dealt from a stadard deck of 5. What s the robablty of the had cotag a. Eactly ace d. ces ad 3 Quees b. t least aces e. sades, clubs ad a damod c. Four Sades f. full house 3. Two de are rolled ad the sum of the u faces are oted. Use good form cludg let statemets to aswer each of the followg questos. a What s the robablty of rollg a 6? b What s the robablty of a s gve that the frst de s a? c What s the robablty of a seve gve that oly oe of the de s a 3?

8 4. It s estmated that 5% of the Caada oulato s udecded as to whch oltcal arty to vote for the et electo. If a oll s coducted ad 007 ctzes resod to the questoare, what s the robablty that more tha 00 of them are udecded? Ht: Use the ormal aromato of a bomal dstrbuto 5. game s desged whch you roll two de ad the sum s oted, f you roll doubles you w $00, f you roll 5 you w $5 ad o all else you ay $5. a. Comlete a dstrbuto table for the amout you w/lose. Iclude a X, ad. colum. b. What s the amout that you would eect to w/lose f you layed the game 0 tmes?

9 Equato Sheet q E q E q E adb B or B B or B adb B B adb S r a r a /... < < < < Σ Σ Σ r q q z q z z z f s f f z q α α α α σ μ σ σ μ σ μ r a E

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