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GCE MAY 2008 : AS, S1: Statistics1 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 Matamaitic Aonad Meas naithe S1 ag meas n Mod l S1: Staitistic 1 [AMS11] D ARDAOIN 29 BEALTAINE, IARN IN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na seacht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IR Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. T c ip den leabhr n Foirml agus T bla Matamaitice leis seo. S os tr d an ph ip ar seo is ln z an nodaireacht logartamach a s idtear it a dtuigtear go bhfuil ln z loge z AMS1S8 3191.02 LEATHANACH B N AMS1S8 3191.02 2 [Turn over Freagair gach ceann de na seacht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 Sa histeagram in F or 1 anseo th os taispe ntar an l on uaireanta an chloig a d oibrigh an c ad fosta i gcomhlacht leictreonaice seachtain amh in. D oibrigh s fhosta n os l n c ig uaire an chloig. Histeagram a thaispe nann uaireanta an chloig a d oibrigh fostaithe seachtain amh in 3 2.4 2 1.8 Dl s minic ochta 1.6 1.2 1 0 05 15 20 35 45 50 Uaireanta an chloig F or 1 Faigh meastach in ar mhe n agus ar dhiall caighde nach an l on uaireanta an chloig a d oibrigh fostaithe an chomhlachta leictreonaice seo. AMS1S8 3191.02 3 [7] [Tiontaigh an leathanach 2 I gcathair irithe in 2007, b eol go raibh ain ime ar 18% de na p ist ab ige n dh bhliain. L irithe in 2007, scr daigh docht ir 11 ph iste ab ige n dh bhliain sa chathair sin. Leis an d ileadh D th armach, faigh an d ch lacht go mbeidh: (i) ain ime ar 2 ph iste go beacht; (ii) ain ime ar n os m n 2 ph iste. 3 [3] [5] Tr imhse irithe maidin Luain, t ann 4 chustaim ir ar an mhe n isteach in ionad siopad ireachta in aghaidh an n im id. Is eol, ach d ileadh Poisson a s id, gur f idir samhail a dh anamh de l on na gcustaim ir a th ann isteach san ionad siopad ireachta sa tr imhse seo. (i) Luaigh dh choinn oll at riachtanach chun samhail a dh anamh le d ileadh Poisson. [2] Faigh an d ch lacht: (ii) nach rachaidh aon chustaim ir isteach i n im ad irithe; (iii) go rachaidh 3 chustaim ar n n os m isteach i n im ad irithe; [4] (iv) go rachaidh 3 chustaim ar go beacht isteach i dtr imhse tr ocha soicind. 4 [2] [3] L ontar paic id gr naigh ar an d igh go mb onn d ileadh Normalach dar me n 520 g agus dar diall caighde nach 15 g ar mhaiseanna na n- bhar acu. Luaitear ar lip id na bpaic ad gurb 500 g mais an ghr naigh iontu. Faigh c atad n na bpaic ad: (i) a mbeidh n os l n 500 g gr naigh iontu; [4] (ii) a mbeidh n os m n 525 g gr naigh iontu. [4] F adtar me nmhais an ghr naigh a athr gan cur isteach ar an diall caighde nach. (iii) Faigh an me nluach nua a chinnteoidh gur in 2% de na paic id amh in a bheidh n os l n an mhais lip adaithe. [3] AMS1S8 3191.02 4 [Turn over 5 Is leis an chothrom id seo a leanas a thugtar an fheidhm dhl s d ch lachta f(x) d athr g randamach lean nach X k(5x x2 4) 1< x <4 0 f(x) = n i ngach aon ch s eile an it ar tairiseach k. (i) Faigh luach k [6] In F or 2 anseo th os taispe ntar an graf de y = f(x). y 1 4 x F or 2 5 (ii) M nigh gurb me n an d ilte seo. 2 [1] (iii) Faigh athraitheas an d ilte. [7] AMS1S8 3191.02 5 [Tiontaigh an leathanach 6 I gcluiche seans, t dh chnaipe rga agus ceithre chnaipe dhubha i m la. Roghn idh imreoir cnaipe go randamach as an mh la agus n chuirfear ar ais sa mh la . Nuair a tharraingeofar cnaipe rga beidh an cluiche thart. N ar dh igh eile, tarraingeoidh an t-imreoir ar s go dt go roghn far cnaipe rga. Tugar X ar an athr g randamach scoite an l on roghanna a bh onn de dh th go dt go dtarraingeofar cnaipe rga . (i) C ipe il agus comhl naigh T bla 1 anseo th os. T bla 1 An l on tarraingt x 1 2 3 4 5 P(X = x) [5] (ii) Faigh E(X) (iii) Faigh Var(X) 7 [2] [4] T suirbh ar bun ag comhlacht ceant la idirl n faoi aoiseanna na l n ineacha p sta a bhaineann s id as an tseirbh s aige. 4 1 I gc s l n in ph sta ar bith, is an d ch lacht go bhfuil an fear os cionn 25 agus is 5 2 an d ch lacht go bhfuil a bhean os cionn 25 Is 19 an d ch lacht go bhfuil an fear os cionn 25 ag glacadh leis go bhfuil a 0 bhean os cionn 25 Roghna tear l n in ph sta go randamach. 9 (i) Taispe in gurb 20 an d ch lacht go bhfuil an fear agus an bhean araon os cionn 25 [2] Le cuidi lear id Venn, n ar dh igh eile, faigh an d ch lacht (ii) nach bhfuil ach duine amh in den l n in os cionn 25 [4] (iii) nach bhfuil duine ar bith den l n in os cionn 25 [2] Roghna tear dh l n in ph sta go randamach. (iv) Faigh an d ch lacht nach bhfuil ach duine amh in de na fir os cionn 25 agus nach bhfuil ach duine amh in de na mn os cionn 25 AMS1S8 3191.02 6 [5] [Turn over S 11/06 530-067-1 [Turn over

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Additional Info : Gce Mathematics May 2008 Assessment Unit S1 Module S1: Statistics1 (Irish Medium)
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