Aqa Ms03 Qp Jun13

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Aqa Ms03 Qp Jun13
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  Centre Number Candidate Number SurnameOther NamesCandidate Signature General Certificate of EducationAdvanced Level ExaminationJune 2013 Mathematics MS03 Unit Statistics 3Tuesday 18 June 2013 9.00 am to 10.30 am For this paper you must have: * the blue AQA booklet of formulae and statistical tables.You may use a graphics calculator. Time allowed * 1 hour 30 minutes Instructions * Use black ink or black ball-point pen. Pencil should only be used for drawing. * Fill in the boxes at the top of this page. * Answer   all  questions. * Write the question part reference (eg (a), (b)(i) etc) in the left-handmargin. * You must answer each question in the space provided for thatquestion. If you require extra space, use an AQA supplementaryanswer book; do  not  use the space provided for a different question. * Do not write outside the box around each page. * Show all necessary working; otherwise marks for method may be lost. * Do all rough work in this book. Cross through any work that you donot want to be marked. * The  final  answer to questions requiring the use of tables or calculators should normally be given to three significant figures. Information * The marks for questions are shown in brackets. * The maximum mark for this paper is 75. Advice * Unless stated otherwise, you may quote formulae, without proof, fromthe booklet. * You do not necessarily need to use all the space provided. For Examiner’s UseExaminer’s InitialsQuestion Mark 1234567TOTAL P59726/Jun13/MS03 6/6/6/  MS03 (JUN13MS0301)  2Answer   all  questions.Answer each question in the space provided for that question. 1  The number of telephone calls per hour to an out-of-hours doctors’ service may bemodelled by a Poisson distribution.The total number of telephone calls received during a random sample of 12 weekdaynight shifts, all of the same duration, was 392. (a)  Calculate an approximate 98% confidence interval for the mean number of callsreceived per weekday night shift.  (5 marks) (b)  The mean number of calls received during weekend shifts of 48 hours’ total durationis 136.8.Comment on a claim that the mean number of calls  per hour  during weekend shiftsis greater than that during weekday night shifts, which are each of   14  hours’duration.  (3 marks) Answer space for question 1 .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. Do not writeoutside thebox  P59726/Jun13/MS03 QUESTION PART REFERENCE  (02)  3 Answer space for question 1 ......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... Do not writeoutside thebox  P59726/Jun13/MS03 Turn over   s (03) QUESTION PART REFERENCE   4 2  On a rail route between two stations, A and B, 90% of trains leave A on time and10% of trains leave A late.Of those trains that leave A on time, 15% arrive at B early, 75% arrive on time and10% arrive late.Of those trains that leave A late, 35% arrive at B on time and 65% arrive late. (a)  Represent this information by a fully-labelled tree diagram.  (3 marks) (b)  Hence, or otherwise, calculate the probability that a train: (i)  arrives at B early or on time; (ii)  left A on time, given that it arrived at B on time; (iii)  left A late, given that it was not late in arriving at B.  (7 marks) (c)  Two trains arrive late at B. Assuming that their journey times are independent,calculate the probability that exactly one train left A on time.  (4 marks) Answer space for question 2 .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. Do not writeoutside thebox  P59726/Jun13/MS03 QUESTION PART REFERENCE  (04)
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