Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

In Millford, $70\%$ of residents have a bicycle. A random sample of $160$ residents is chosen.
(main)[5]

Use an appropriate approximation to determine the probability that more than $120$ of these residents own a bicycle.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The mean is $160 \times 0.7 = 112$ and the variance is $160 \times 0.7 \times 0.3 = 33.6$ (or an equivalent result).

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