  Estimates of the composition of ultra high energy cosmic rays (UHECRs) can be
inferred by recording the depth of air shower maximum, $X_{\mathrm{max}}$, for
many showers and comparing the distributions to those predicted by Monte Carlo
simulations. Traditionally, UHECR composition has relied upon comparison of the
first and second moments of the $X_{\mathrm{max}}$ distributions to estimate
the compatibility between data and simulations, but with the large UHECR
datasets being built the current generation experiments better tests which
compare full distributions can be employed. Such tests can be used to
understand the accuracy with which UHECR composition can actually be understood
at the current level of statistics and quantitatively measure the significance
of agreement or disagreement with models in order to reject them. In this paper
we present the most recent results of 10 years of Telescope Array hybrid
$X_{\mathrm{max}}$ measurements which is found to agree with a predominantly
light composition. In previously published results we have demonstrated the
agreement of Telescope Array hybrid $X_{\mathrm{max}}$ data with single element
models using systematic shifting of the data in order to ensure the shapes of
the distributions are being compared. Here we present multi-component source
models fit to hybrid $X_{\mathrm{max}}$ data and report on the relative
fractions of those sources that best fit the data. Below $10^{19.1}$ eV TA
hybrid data is found to be compatible with mixtures composed of predominantly
light elements such as protons and helium.
