Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

The masses of bags of rice produced by a company are normally distributed with mean $\mu$ kg and standard deviation $0.14$ kg. The chance that a randomly selected bag of this rice has mass below $1.48$ kg is $0.22$.
(main)[3]

Determine the value of $\mu$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct probability expression obtained through standardisation, for example $P\left(Z<\frac{1.48-\mu}{0.14}\right)=0.22$

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