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9709/63

Mathematics 9709/63 — May/June 2011

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

6
questions
50
marks
75
minutes

Topics Representation of Data · Probability · Discrete Random Variables · Permutations and Combinations · The Normal Distribution

Q1Representation of DataFree sample

Red Street Garage has 9 used cars for sale. Fairwheel Garage has 15 used cars for sale. The mean age of the cars in Red Street Garage is 3.6 years and the standard deviation is 1.925 years. In Fairwheel Garage, ∑x=64\sum x = 64 and ∑x2=352\sum x^2 = 352, where xx is the age of a car in years.

(i)

Find the mean age of all 24 cars.

2M
(ii)

Find the standard deviation of the ages of all 24 cars.

4M

The rest of this paper

5 more questions
  • Q2Permutations and Combinations6M
  • Q3Representation of Data7M
  • Q4Probability9M
  • Q5The Normal Distribution · Discrete Random Variables11M
  • Q6Probability · Discrete Random Variables11M
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