  The recently standardized millimeter wave-based 3GPP New Radio technology is
expected to become an enabler for both enhanced Mobile Broadband (eMBB) and
ultra-reliable low latency communication (URLLC) services specified to future
5G systems. One of the first steps in mathematical modeling of such systems is
the characterization of the session resource request probability mass function
(pmf) as a function of the channel conditions, cell size, application demands,
user location and system parameters including modulation and coding schemes
employed at the air interface. Unfortunately, this pmf cannot be expressed via
elementary functions. In this paper, we develop an accurate approximation of
the sought pmf. First, we show that Normal distribution provides a fairly
accurate approximation to the cumulative distribution function (CDF) of the
signal-to-noise ratio for communication systems operating in the millimeter
frequency band, further allowing evaluating the resource request pmf via error
function. We also investigate the impact of shadow fading on the resource
request pmf.
