Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

Anil is standing as a candidate in an election, and he gained $40\%$ of the votes. A random sample of 120 voters is selected.
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Use an approximation to determine the probability that, out of the 120 voters, between 36 and 54 inclusive voted for Anil.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct mean is $\mu=120\times0.4=48$ and the correct variance is $\sigma^2=120\times0.4\times0.6=28.8$.

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