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A binomial distribution will be approximately normal if

A

The sample size is at least $30$.

B

Each trial is independent.

C

$n(P)$ and $n(1-P)$ are both over $10$, where $n$ is the number of trials and $P$ is the probability of success.

D

The population is at least $10$ times the sample size.

E

Each trial has the same probability.

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