Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The petrol consumption for one particular type of car follows a normal distribution with mean 24 kilometres per litre and standard deviation 4.7 kilometres per litre.
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Determine the probability that a randomly selected car of this type has petrol consumption between 21.6 kilometres per litre and 28.7 kilometres per litre.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: By standardising the normal variable: $P\left(\frac{21.6-24}{4.7}<z<\frac{28.7-24}{4.7}\right)$

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