(a)[6]
Determine $P(\bar{X} > 6.2)$. A continuity correction is not required.
(b)[1]
State the reason the Central Limit Theorem was needed in the working for part (a).
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
The random variable $X$ is distributed as $B\!\left(8, \tfrac{3}{4}\right)$. A random sample containing $100$ values of $X$ is taken, and the sample mean, $\bar{X}$, is determined.