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Exam (elaborations)

Test (elaborations)AS Stats Maths question paper

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Test (elaborations) Maths Cambridge International AS and A Level Mathematics Statistics, markscheme for paper. It also has the question paper and worked explanations to be bought as a bundle.

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  • November 8, 2021
  • 16
  • 2021/2022
  • Exam (elaborations)
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Ernest01
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MATHEMATICS 9709/51
Paper 5 Probability & Statistics 1 May/June 2020

1 hour 15 minutes

You must answer on the question paper.

You will need: List of formulae (MF19)

INSTRUCTIONS
³ Answer all questions.
³ Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
³ Write your name, centre number and candidate number in the boxes at the top of the page.
³ Write your answer to each question in the space provided.
³ Do not use an erasable pen or correction fluid.
³ Do not write on any bar codes.
³ If additional space is needed, you should use the lined page at the end of this booklet; the question
number or numbers must be clearly shown.
³ You should use a calculator where appropriate.
³ You must show all necessary working clearly; no marks will be given for unsupported answers from a
calculator.
³ Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.



INFORMATION
³ The total mark for this paper is 50.
³ The number of marks for each question or part question is shown in brackets [ ].




This document has 16 pages. Blank pages are indicated.


JC20 06_9709_51/FP
© UCLES 2020 [Turn over

, 2

1 The score when two fair six-sided dice are thrown is the sum of the two numbers on the upper faces.

1.
(a) Show that the probability that the score is 4 is 12 [1]

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The two dice are thrown repeatedly until a score of 4 is obtained. The number of throws taken is
denoted by the random variable X .

(b) Find the mean of X . [1]

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(c) Find the probability that a score of 4 is first obtained on the 6th throw. [1]

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(d) Find P X < 8. [2]

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© UCLES 2020 9709/51/M/J/20

, 3

2 (a) Find the number of different arrangements that can be made from the 9 letters of the word
JEWELLERY in which the three Es are together and the two Ls are together. [2]

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(b) Find the number of different arrangements that can be made from the 9 letters of the word
JEWELLERY in which the two Ls are not next to each other. [4]

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© UCLES 2020 9709/51/M/J/20 [Turn over

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