Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A variable with a normal distribution has its mean equal to four times its standard deviation. For a value selected at random, the probability that it is above $5$ is $0.15$.
(i)[4]

Find both the mean and the standard deviation.

(ii)[5]

Find the probability that at least $160$ of these $200$ values are less than $5$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct $z$-value $=1.036$ or $1.037$

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