Theoretical Distribution

Concept:The shape (symmetry/skewness) of a binomial distribution depends on the probability of success, $p$.Explanation:A binomial distribution with parameters $n$ and $p$ is:• Symmetrical when $p = 0.5$.• Positively skewed (right‑tailed) when $p < 0.5$.• Negatively skewed (left‑tailed) when $p > 0.5$.Thus, it is never symmetrical only if $p \neq 0.5$, but it can be symmetrical. So option D is correct.Answer:D. symmetrical when $p=0.5$