Question: what is distribution of values taken by a statistic

title: Sampling distribution
text: Bernoulli : Bernoulli ⁡ ( p ) ( \ displaystyle \ operatorname ( Bernoulli ) ( p ) ) Sample proportion of `` successful trials '' X  ̄ ( \ displaystyle ( \ bar ( X ) ) ) n X  ̄ ∼ Binomial ⁡ ( n , p ) ( \ displaystyle n ( \ bar ( X ) ) \ sim \ operatorname ( Binomial ) ( n , p ) )