Cambridge International AS & A Level
CANDIDATE
NAME
CENTRE CANDIDATE
NUMBER NUMBER
*9829567192*
MATHEMATICS 9709/53
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 12 pages. Blank pages are indicated.
JC20 06_9709_53/2R
© UCLES 2020 [Turn over
, 2
1 Juan goes to college each day by any one of car or bus or walking. The probability that he goes by
car is 0.2, the probability that he goes by bus is 0.45 and the probability that he walks is 0.35. When
Juan goes by car, the probability that he arrives early is 0.6. When he goes by bus, the probability
that he arrives early is 0.1. When he walks he always arrives early.
(a) Draw a fully labelled tree diagram to represent this information. [2]
(b) Find the probability that Juan goes to college by car given that he arrives early. [4]
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........................................................................................................................................................
........................................................................................................................................................
© UCLES 2020 9709/53/M/J/20
CANDIDATE
NAME
CENTRE CANDIDATE
NUMBER NUMBER
*9829567192*
MATHEMATICS 9709/53
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 12 pages. Blank pages are indicated.
JC20 06_9709_53/2R
© UCLES 2020 [Turn over
, 2
1 Juan goes to college each day by any one of car or bus or walking. The probability that he goes by
car is 0.2, the probability that he goes by bus is 0.45 and the probability that he walks is 0.35. When
Juan goes by car, the probability that he arrives early is 0.6. When he goes by bus, the probability
that he arrives early is 0.1. When he walks he always arrives early.
(a) Draw a fully labelled tree diagram to represent this information. [2]
(b) Find the probability that Juan goes to college by car given that he arrives early. [4]
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
© UCLES 2020 9709/53/M/J/20
