9709/63

Mathematics 9709/63May/June 2019

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

7
questions
50
marks
75
minutes

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

Q1The Normal DistributionFree sample

The time taken, in minutes, by a ferry to cross a lake has a normal distribution with mean 85 and standard deviation 6.8.

(i)

Find the probability that, on a randomly chosen occasion, the time taken by the ferry to cross the lake is between 79 and 91 minutes.

3M
(ii)

Over a long period it is found that 96% of ferry crossings take longer than a certain time tt minutes. Find the value of tt.

3M

The rest of this paper

6 more questions
  • Q2Probability6M
  • Q3Permutations and Combinations5M
  • Q4Permutations and Combinations6M
  • Q5Discrete Random Variables · The Normal Distribution8M
  • Q6Discrete Random Variables9M
  • Q7Representation of Data10M
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