Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

Under these conditions, the germination time of cucumber seeds follows a normal distribution with mean $125$ hours and standard deviation $\sigma$ hours.
(i)[3]

It is discovered that $13\%$ of seeds take more than $136$ hours to germinate. Determine the value of $\sigma$.

(ii)[4]

$170$ seeds are sown. Find the expected number of seeds with germination times between $131$ and $141$ hours.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct $z$-value of $z=\pm1.127$ (accept rounding to $\pm1.13$)

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