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GCE JUN 2006 : AS, S1: Statistics1 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2006 Matamaitic Aonad Meas naithe S1 ag meas n Mod l S1: Staitistic 1 [AMS11] D M IRT 6 MEITHEAMH, 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 ln z log e z AMS1S6 849.05 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 In T bla 1 anseo th os taispe ntar an d ileadh d ch lachta den athr g randamach X. T bla 1 x 1 2 3 4 5 6 7 8 P(X = x) 0.1 0.11 0.125 0.14 0.16 0.13 0.115 0.12 (i) Faigh P(2 X < 6). (ii) Faigh E(X ) agus Var(X ). 2 [2] [6] Agus c bla leictreach dh anamh t a fhios againn go mbeidh lochtanna ann ag me nr ta de dh cheann in aghaidh an chilim adair. (i) T st iltear fad aon chilim adar amh in den ch bla. Faigh an d ch lacht go mbeidh dh locht go beacht ann. [3] (ii) T st iltear fad 3 chilim adar den ch bla. Faigh an d ch lacht go mbeidh locht amh in ar a laghad ann. [4] AMS1S6 849.05 2 [Turn over 3 Ba mhaith le heagarth ir a fh il amach c chomh minic a tharla onn meanc g cl scr bhneoireachta ina nuacht n. Rinne s anail s ar shampla m r de leathanaigh na heagr in is deireana a bh ann. Tugtar achoimre ar na tortha in T bla 2 anseo th os. T bla 2 L on na meanc g L on na leathanach 0 1 2 3 4 5 6 268 403 297 153 59 14 6 (i) Faigh an me n agus an t-athraitheas do l on na meanc g in aghaidh an leathanaigh. (ii) C n d ileadh d ch lachta a d fh adfa a s id le samhail a dh anamh de l on na meanc g cl scr bhneoireachta in aghaidh an leathanaigh sa nuacht n? 4 [4] [1] Cuireann coillteoir deich mbuinne n beithe. Is 85% an r ta ratha go dtiocfaidh buinne n chun aib ochta. Faigh an d ch lacht: (i) go dtiocfaidh ocht mbuinne n go beacht chun aib ochta, [3] (ii) go dtiocfaidh ocht mbuinne n ar a laghad chun aib ochta, [4] (iii) go dtiocfaidh ocht mbuinne n ar a mh ad chun aib ochta. [2] In it eile sa choill, bh l on irithe de bhuinne in bheithe curtha cheana f in ag an choillteoir. Is 13.6 an l on ionchais at aige go dtiocfaidh crainn chun aib ochta san it seo. (iv) (a) Faigh amach c mh ad crann a chuir s san it seo den choill. (b) Faigh an d ch lacht go bhfuil ceann amh in go beacht de na buinne in seo nach dtiocfaidh chun aib ochta. AMS1S6 849.05 3 [2] [3] [Tiontaigh an leathanach 5 T feidhm dhl s d ch lachta f(x) ag athr g randamach lean nach X mar a bhfuil f(x ) = kx 2 nuair at 2 x 4 0 i ngach c s eile agus nuair is tairiseach k. (i) Taispe in go bhfuil k = 3 56 (ii) Faigh E(X ) agus Var(X ). [8] (iii) Faigh P(X 3). 6 [4] [3] Rinneadh suirbh ar chaitheamh aimsire na mac l inn in ollscoil agus fuarthas amach gur sn mh ir iad 48% de na himreoir rugba , agus gur imreoir rugba iad 25% de na sn mh ir . Abair gurb iad na teagmhais R agus S: R: is imreoir rugba / mac l inn a roghn far go randamach, S: is sn mh ir / mac l inn a roghn far go randamach. Abair chomh maith gurb p an d ch lacht gur imreoir rugba agus sn mh ir araon / mac l inn a roghn far go randamach. (i) Taispe in go bhfuil P(R ) = p 0.48 [3] (ii) Faigh P(S) i dt arma p. [1] Seasca a haon faoin ch ad de na mic l inn, is sn mh ir n imreoir rugba n an d cheann araon iad. (iii) Faigh P(R) agus P(S). [5] (iv) An bhfuil na teagmhais R agus S neamhsple ch ar a ch ile? M nigh do fhreagra. [2] AMS1S6 849.05 4 [Turn over 7 T d ileadh Normalach dar me n 170 gram agus dar diall caighde nach 25 gram ar na maiseanna de chine l irithe d oinni n. Pac iltear na hoinni in de r ir maise ina 3 ghr d. T me chan 185 gram n n os m sna hoinni in i nGr d A. (i) Faigh, ceart go dt 4 ionad de dheach lacha, an d ch lacht gur oinni n Gr d A oinni n a roghn far go randamach. [5] T me chan idir 140 gram agus 185 gram sna hoinni in i nGr d B. (ii) Faigh, ceart go dt 4 ionad de dheach lacha, an d ch lacht gur oinni n Gr d B oinni n a roghn far go randamach. [5] T an chuid eile de na hoinni in i nGr d C. T costas 32 pingin an cileagram ar th irgeadh na n-oinni n. T oinni in Gr d A ar d ol ag 50 pingin an cileagram, t oinni in Gr d B ar d ol ag 42 pingin an cileagram agus t oinni in Gr d C ar d ol ag 30 pingin an cileagram. (iii) Faigh an brab s ionchais in aghaidh an chileagraim do na hoinni in a dh olfar. Scr obh do fhreagra ceart go dt an 0.1 pingin in aghaidh an chileagraim. [5] SEO DEIREADH AN SCR DPH IP IR AMS1S6 849.05 5 [Turn over

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Additional Info : Gce Mathematics June 2006 Assessment Unit S1 Module S1: Statistics1 (Irish Medium)
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