Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

Carrot lengths of this type follow a normal distribution with mean $14.2$ cm and standard deviation $3.6$ cm.
(i)[3]

$8\%$ of carrots are shorter than $c$ cm. Find the value of $c$.

(ii)[6]

Rebekah chooses $7$ carrots at random. Find the probability that at least $2$ of them have lengths between $15$ and $16$ cm.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore, $z=-1.406$.

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