The correct answer is:

C. If $np \geq 5$ and $nq \geq 5$, the normal distribution can be used.

Explanation:

A binomial distribution can be approximated using a normal distribution under certain conditions to simplify calculations. The conditions ensure the binomial distribution is sufficiently symmetric and not overly skewed. Here's why:

1. Conditions: $np \geq 5$ and $nq \geq 5$, where $n$ is the number of trials, $p$ is the probability of success, and $q = 1 - p$ is the probability of failure.
   • These thresholds ensure that the sample size is large enough