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A-Level MathematicsYear 2022Q3

8   3. Dian uses the large data set to investigate the Daily Total Rainfall, r mm, for Camborne. (a) Write down how a value of 0 < r  0.05 is recorded in the large data set. (1) Dian uses the data for the 31 days of August 2015 for Camborne and calculates the following statistics n = 31 ∑ r = 174.9 ∑ r 2 = 3523.283 (b) Use these statistics to calculate (i) the mean of the Daily Total Rainfall in Camborne for August 2015, (ii) the standard deviation of the Daily Total Rainfall in Camborne for August 2015. (3) Dian believes that the mean Daily Total Rainfall in August is less in the South of the UK than in the North of the UK. The mean Daily Total Rainfall in Leuchars for August 2015 is 1.72 mm to 2 decimal places. (c) State, giving a reason, whether this provides evidence to support Dian's belief. (2) Dian uses the large data set to estimate the proportion of days with no rain in Camborne for 1987 to be 0.27 to 2 decimal places. (d) Explain why the distribution B(14, 0.27) might not be a reasonable model for the number of days without rain for a 14‑day summer event. (1) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 9   Question 3 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________ (Total for Question 3 is 7 marks)

Paper Source:9ma0-31-que-20220622.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)