2023 Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 31: Statistics Question Paper and Mark Scheme Combined Unveiling Excellence!!

Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number Pearson Edexcel Level 3 GCE Tuesday 20 June 2023 Afternoon reference 9MA0/31 Paper Mathemati cs  Advanced PAPER 31: Statistics You must have: Total Marks Mathematical Formulae and Statistical Tables (Green), calculator 2023 Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 31: Statistics Question Paper and Mark Scheme Combined Unveiling Excellence!! Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the f acility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions• • Use black ink or ball -point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B ). Fill in the boxes at the top of this page with your name, • centre number and candidate number. Answer all questions and ensure that your answers to parts of questions are clearly • labelled. Answer the questions in the spaces provided • – there may be more space than you need . You should show sufficient working to make your methods clear. • Answers without working may not gain full credit. Values from statistical tables should be quoted in full. If a calculator is used instead of • tables the value shou ld be given to an equivalent degree of accuracy. Inexact answers should be given to three significant figures unless otherwise stated. Information• • A booklet ‘Mathematical Formulae and Statistical Tables ’ is provided. • The total mark for this part of t he examination is 50. There are 6 questions. The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question . Advice • Read each question carefully before you start to answer it. • Try to answer e very question. • Check your answers if you have time at the end. Turn over ©2023 Pearson Education Ltd. *P72819A0120* P72819A N:1/1/1/ 1. The Venn diagram, where p and q are probabilities, shows the three events A, B and C and their associat ed probabilities. A B 0.13 0.05 0.25 0.3 C q p DO NOT WRITE IN THIS AREA (a) Find P( A) (1) The events B and C are independent. (b) Find the value of p and the value of q (3) (c) Find P( A½B′) (2) ___________________________________ __________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ______________________________ _______________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _________________________ ____________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ____________________ _________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _______________ ______________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ __________ ___________________________________________________________________________ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2 *P72819A0220*  DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _________________________________ ____________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ____________________________ _________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _______________________ ______________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ __________________ ___________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________ ________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ________ _____________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ________________________________________________________________________________ _____ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________________________________________________ __________ _____________________________________________________________________________________ _____________________________________________________________________________________ ______________________________________________________________________ _______________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 1 is 6 marks) *P72819A0320* 3  Turn over