Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

Maize plant heights in Mpapwa follow a normal distribution with mean $1.62\,\text{m}$ and standard deviation $\sigma\,\text{m}$. The chance that a randomly selected plant is taller than $1.8\,\text{m}$ is $0.15$.
(main)[3]

Determine the value of $\sigma$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly applying or identifying the standardised value $z = \frac{1.8 - 1.62}{\sigma}$ and reaching $z = 1.037$

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