e mixture distribution that is symmetric about <span class="math inline">\(0\)</span>. This implies that each element <span class="math inline">\(x_{nj}\)</span> satisfies <span class="math inline">\(\mathbb{P}(x_{nj}&gt;0) =\mathbb{P}(x_{nj}&lt;0) = 0.5\)</span>. Multiplying these probabilities, we see that <span class="math inline">\(\mathbb{P}(\mathbf{x}_n &gt; \mathbf{0})=\mathbb{P}(\mathbf{x}_n &lt; \mathbf{0})=0.5^P\)</span>. The indicators are thus Bernoulli distributed with success probability <span