High velocity boundary layer transition experiments are performed in a Ludwieg tube set-up. At a Mach number of 0.36, the transition is studied by using several turbulence generating grids. These grids cause turbulence levels varying from 0.25% to 3.5%. It is found that, depending on the turbulence level, different intermittency distributions should be used to describe the transition zone well. For low turbulence levels, the Narasimha and the Johnson models, which are based on turbulent spots, show good agreement with the measurements. For intermediate levels, the front part of the transition zone follows a distribution which is described by turbulent spots which decrease in size. In these cases, the latter part of transition also shows agreement with the Narasimha and Johnson models. A major difference with the ‘classical' intermittency distributions is obtained for high turbulence levels. Assuming that for these levels non-growing turbulent spots are initiated in the whole transition zone, an exponential intermittency is derived. In the measurements these distributions indeed are found.