Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The amount of ink in one kind of ink cartridge has a normal distribution with mean $30\text{ ml}$ and standard deviation $1.5\text{ ml}$. Staff in an office use $8$ of these cartridges each month.
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Find the expected number of cartridges per month that have less than $28.9\text{ ml}$ of this ink.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Standardise the value using $z=\frac{28.9-30}{1.5}$

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