(a)[3]
Find the percentage of oranges placed in the large category.
(b)[3]
Find the largest possible weight of a small orange.
Mathematics 9709 · AS & A Level · The normal distribution
The normal distribution — practice question
A normal distribution with mean $131$ grams and standard deviation $54$ grams can be used to represent orange weights. Oranges are put into the categories small, medium or large. A large orange has a weight of at least $184$ grams, and $20\%$ of oranges are in the small category.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly standardises $P\left(Z>\frac{184-131}{54}\right)=P(Z>0.9815)$” …
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