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Pearson Edexcel A Level GCE In Mathematics (9MA0) Paper 3 1 Statistics QP & MS June 2024

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Xian rolls a fair die 10 times. The random variable X represents the number of times the die lands on a six. (a) Using a suitable distribution for X, find (i) P(X = 3) (ii) P(X 3) Xian repeats this experiment each day for 60 days and records the number of days when X = 3 (b) Find the probability that there were at least 12 days when X = 3 (c) Find an estimate for the total number of sixes that Xian will roll during these 60 days. (d) Use a normal approximation to estimate the probability that Xian rolls a total of more than 95 sixes during these 60 days. (3) (3) (1) (4) DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO

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Pearson Edexcel A Level GCE In Mathematics (9MA0) Paper 3 1
Statistics QP & MS June 2024

, Pearson Edexcel Level 3 GCE
Thursday 20 June 2024
Afternoon Paper
reference 9MA0/31
Mathematics
Advanced
PAPER 31: Statistics

Total Marks



.
Turn over


P74093A
©2024 Pearson Education Ltd.
F:1/1/1/1/

,1. Xian rolls a fair die 10 times.

The random variable X represents the number of times the die lands on a six.




DO NOT WRITE IN THIS AREA
(a) Using a suitable distribution for X, find

(i) P(X = 3)

(ii) P(X < 3)
(3)

Xian repeats this experiment each day for 60 days and records the number of days
when X = 3

(b) Find the probability that there were at least 12 days when X = 3
(3)

(c) Find an estimate for the total number of sixes that Xian will roll during these 60 days.
(1)
(d) Use a normal approximation to estimate the probability that Xian rolls a total of
more than 95 sixes during these 60 days.




DO NOT WRITE IN THIS AREA
(4)




DO NOT WRITE IN THIS AREA




2
■■■■

,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




3
Turn over

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