Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

Tea packets are labelled as containing 250 g. The true mass of tea in a packet follows a normal distribution with mean 260 g and standard deviation $\sigma$ g. Any packet whose mass is below 250 g is described as ‘underweight’.
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Given that $1\%$ of the tea packets are underweight, find $\sigma$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Standardising to give $z=-2.326$, with $\u001e$ from $2.325$ to $2.33$ seen

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