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GCE JUN 2007 : AS, S1: Statistics1 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2007 Matamaitic Aonad Meas naithe S1 ag meas n Mod l S1: Staitistic 1 [AMS11] D ARDAOIN 7 MEITHEAMH, MAIDIN 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 log e z AMS1S7 2095 LEATHANACH B N AMS1S7 2095 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 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 (i) Cuir s os go hachomair ar 3 ghn ar leith de chuid boscphlota a fh gann go bhfuil siad oiri nach le hachoimre a dh anamh ar shonra . [3] T thart faoin l on c anna de bhuachaill agus de chail n sa 6 bliain i scoil irithe. Taifeadadh, ina uaireanta an chloig, an m id ama a chaith buachaill na s bliana ag amharc ar an teilif s seachtain irithe. In F or 1 anseo th os taispe ntar boscphlota de na tortha . 0 5 10 15 20 25 30 Uaireanta an chloig F or 1 An tseachtain ch anna taifeadadh an m id ama a chaith cail n na s bliana sa scoil seo ag amharc ar an teilif s. Ba 2 uair an chloig an t-am ba l do chail n agus ba 24 uair an chloig an t-am ab fhaide. Ba 12 uair an chloig airmhe n an ama do chail n . Ba iad 9 agus 15 uair an chloig faoi seach an cheathair l ochtarach agus an cheathair l uachtarach. (ii) Cuir sonra na mbuachaill i gcompar id le sonra na gcail n . [3] 2 Fad saoil an ama cainte i gcadhnra guth n p ca, f adtar samhail a dh anamh de le d ileadh Normalach dar me n 3.7 uair an chloig agus dar diall caighde nach 0.42 uair an chloig. (i) Roghn far guth n p ca go randamach. Faigh an d ch lacht go mbeidh am cainte n os l n 3.5 uair an chloig ag an chadhnra ann. [4] (ii) Faigh an fad saoil a sh ra tear ag 25% de chadhnra guth in ph ca. [3] (iii) Ag glacadh leis gur l n 3.5 uair an chloig an t-am cainte at ag cadhnra guth n p ca a roghna tear go randamach, faigh an d ch lacht gur l n 3 uair an chloig a bheidh an t-am cainte. [3] AMS1S7 2095 [Tiontaigh an leathanach (a) An bainisteoir in ollmhargadh, tugann s faoi deara go dt ann idir 8 agus 12 chustaim ir, an d cheann san ireamh, i gc na tr d scip ad i dtr imhse aon uair an chloig i ndiaidh l in ar an Aoine. Tugann s faoi deara chomh maith go bhfuil d ileadh cothrom scoite ar l on na gcustaim ir a th ann tr d an scip ad. (i) M s X an athr g randamach scoite l on na gcustaim ir a th ann tr d an scip ad sa tr imhse aon uair an chloig seo , d an t bla le d ileadh d ch lachta X a thaispe int. [3] (ii) Scr obh an d ch lacht go rachaidh 10 gcustaim ir ar a laghad tr d an scip ad sa tr imhse aon uair an chloig seo. [1] (iii) Faigh an me n agus an diall caighde nach don d ileadh cothrom scoite. (b) Is p an d ch lacht go gceann idh custaim ir glasra ag an scip ad san ollmhargadh. Roghn far 3 chustaim ir go randamach. An d ch lacht go gceann idh 2 acu go beacht glasra , is ionann agus an d ch lacht go gceann idh an 3 uile acu glasra . Faigh luach p. [4] [6] Taifeadtar ar feadh bliana l on na dtimpist a tharla onn in aghaidh an lae i monarchana Thuaisceart ireann. Taispe ntar na sonra in T bla 1 anseo th os. T bla 1 L on na dtimpist Minic ocht (laethanta) 0 1 2 3 4 194 122 39 8 2 (i) Taispe in gurb 0.636 an me n do na sonra seo. [2] (ii) Faigh an t-athraitheas do l on na dtimpist in aghaidh an lae. [2] Tuigtear go bhfuil D ileadh Poisson dar me n 0.636 ar l on na dtimpist a tharla onn in aghaidh an lae. Faigh an d ch lacht: (iii) go dtarla onn 2 thimpiste go beacht ar l irithe; [2] (iv) go dtarla onn 2 thimpiste n n os m i dtr imhse 3 l . [4] AMS1S7 2095 [Turn over T uachtar reoite de bhlasanna difri la ar d ol i siopa. acu. Maidir leis na huachtair reoite a dh oltar, t blas c or mheala ar 2 5 D oltar ocht n-uachtar reoite tr thn na Sathairn amh in. Faigh an d ch lacht: (i) go bhfuil blas c or mheala ar an ch ad 2 uachtar reoite a dh oltar; [1] (ii) go bhfuil blas c or mheala ar 2 cheann ar a laghad de na huachtair reoite a dh oltar. [4] Abair go nd oltar n uachtar reoite ag an deireadh seachtaine. Sainmh n tear Y mar athr g randamach l on na n-uachtar reoite fanaile a dh oltar ag an deireadh seachtaine . an d ch lacht gur blas fanaile at ar uachtar reoite a dh oltar. Is 1 5 Is 24 athraitheas Y. (iii) Faigh n. [3] (iv) Faigh E(Y). [2] 6 T feidhm dhl s d ch lachta f(x) ag athr g randamach lean nach X mar a bhfuil f(x) = k x2 an it a bhfuil 1 < x < 4 0 i ngach c s eile. 1 (i) Taispe in go bhfuil k = 21 [4] (ii) Faigh E(X). [3] (iii) Taispe in gurb 0.527 athraitheas X. [5] (iv) Faigh P(2 < X < 3). [3] AMS1S7 2095 [Tiontaigh an leathanach 7 I gc s comhlachta a ligeann f se in ar c os: t gann 20% d chustaim ir f se in ar c os ar an Luan; t gann 35% d chustaim ir f se in ar c os ar an Aoine; t gann 45% d chustaim ir f se in ar c os ar an Luan n ar an Aoine. Roghna tear custaim ir go randamach as an ghr pa custaim ir seo. Faigh an d ch lacht: (i) go dt gann an custaim ir seo f se in ar c os ar an d l ; [3] (ii) nach dt gann an custaim ir seo f se in ar c os ach ar an Luan. [2] Is fireannaigh iad 60% de na baill sa chomhlacht seo. Rinne an comhlacht suirbh agus fuarthas amach gur th g 70% de na fireannaigh agus 55% de na baineannaigh f se n ar c os n os m n 5 huaire sa mh . I m irithe, fuarthas amach gur th g ball, a roghna odh go randamach, f se n ar c os 6 huaire. (iii) Faigh an d ch lacht gur baineannach an ball seo. [5] SEO DEIREADH AN SCR DPH IP IR AMS1S7 2095 6 [Turn over

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Additional Info : Gce Mathematics June 2007 Assessment Unit S1 Module S1: Statistics1 (Irish Medium)
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