and $N_{\rm EC} = 55$.

![The binomial probability distribution for $n=55$ and $p=0.1$ as a function of $x$, i.e. the probability of detecting $x$ exoEarths that exhibit a desired feature from a sample of 55 candidates assuming a statistical frequency of the feature $\eta_x = 0.1$. \[sample\_binomial\]](sample_binomial-N_55-eta_0_1.eps){width="4in"}

Calculating ExoEarth Candidate Yield {#exoEarth_yield_section}
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The fundamentals of our exoEarth candidate yield calculations are based on @2005ApJ...624.1010B. Here we provide a brief summary of those techniques. We divide our exoEarth candidate yield calculations into four distinct steps: target list selection, completeness calculation for each star, exposure time calculation for each star, and yield maximization.

Target list
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To select a pool of potential targets we followed the procedures outlined in @2005ApJ...624.1010B and @2012PASP..124..418T. We queried the *Hipparcos* catalog for all stars with parallax $>20\arcsec$ ($d<50$ pc); we found the 30 pc cutoff used by @2005ApJ...624.1010B and @2012PASP..124..418T insufficient when modeling our baseline mission with apertures $\gtrsim 10$ m. We then cross-referenced our list with the *Hipparcos* Double & Multiples Catalog and the Washington Double Star Catalog to remove stars with known companions within $10\arcsec$, leaving a total of 5449 potential targets. Stray light from such companions may impact the required planet exposure 