Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The lengths of new pencils follow a normal distribution with mean $11\text{ cm}$ and standard deviation $0.095\text{ cm}$.
(i)[2]

Determine the probability that a pencil selected at random has length greater than $10.9\text{ cm}$.

(ii)[3]

Determine the probability that, in a random sample of $6$ pencils, at least two have lengths less than $10.9\text{ cm}$.

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