Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

$X$ has distribution $B(10, 0.2)$, and a random sample made up of $160$ values of $X$ is drawn.

(a)[3]

Find the approximate distribution of the sample mean, and include the parameter values.

(b)[3]

Hence find the probability that the sample mean is less than $1.8$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that the mean is $2$” …