Is the spectral distribution equal to boltzmann distribution?

The Maxwell-Boltzmann distribution provides information about the speed of particles of a gas:

Speed is actually kinetic energy which is connected to temperature via $ E_{kin} = 0.5 * m * v^2 = 3/2 * kT$. Hence, I wonder wether a spectral distribution can be expressed in terms of a Maxwell-Boltzmann-distribution? Is it even the same? It looks very similar in some cases and in others not.