AQA Paper 3 2023 June — Question 12 6 marks

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2023
SessionJune
Marks6
TopicBinomial Distribution
TypeVerify conditions in context

12
12

  1. 12

  2. 12

  3. 12

  4. \end{tabular} &
    It is known that, on average, \(40 \%\) of the drivers who take their driving test at a local test centre pass their driving test.
    Each day 32 drivers take their driving test at this centre.
    The number of drivers who pass their test on a particular day can be modelled by the distribution B (32, 0.4)
    State one assumption, in context, required for this distribution to be used.
    [1 mark] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\)
    Find the probability that exactly 7 of the drivers on a particular day pass their test.
    [1 mark] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\)
    Find the probability that, at most, 16 of the drivers on a particular day pass their test.
    [1 mark] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\)
    Find the probability that more than 12 of the drivers on a particular day pass their test.
    [2 marks] \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\) \(\_\_\_\_\)

    \hline \end{tabular} \end{center}
    12
  5. Find the mean number of drivers per day who pass their test.[1 mark]
    12
  6. Find the standard deviation of the number of drivers per day who pass their test.