In a VLA search for radio emission from 22 bright (B ≲ 17 mag), optically selected quasars, nine quasars were detected at levels exceeding 0.5 mJy at 4.885 0Hz. About two-thirds of the 22 quasars exhibit optical spectral fluxes exceeding the radio (i.e., inverted radio-to-optical spectral flux distributions αOR < 0.0) consequently, most optically selected quasars show little direct evidence for synchrotron radiation at any frequency. The detected sources span a large range in radio-to-optical luminosity ratios (from more than 10-2 down to less than l0-5) and show no clear evidence for a bimodal distribution.In addition to the radio search, 19 of the quasars were studied photometrically at infrared, optical wavelengths. No statistically significant correlation between the radio-to-optical luminosity ratio and optical properties is found, although some apparent trends are noted. Comparison of our results with previous surveys provides evidence (at the "two-sigma" level) for a dependence of this ratio upon optical properties or red shift. Several processes which might account for the radio, infrared, optical spectral flux distributions of quasars are considered. The very weak radio emission present in most optically selected quasars suggests that the infrared, optical emission from such quasars is not thermal bremsstrahlung from a source transparent at radio frequencies. Nor can the detected radio flux be thermal bremsstrahlung from the broad-line or narrow-line emission regions. Furthermore, unless a strong compact synchrotron source is hidden from view at observed radio frequencies, the infrared, optical emission cannot, in general, result from synchrotron self-Compton scattering. The observed infrared, optical radiation from blazars and OVV quasars is probably synchrotron emission, but for most quasars, other mechanisms are plausible. If the infrared, optical emission is not dependent upon the existence of a synchrotron source, then the infrared, optical and the radio emission are independent. In this case, little more can be said at present. On the other hand, if the infrared, optical radiation from quasars originates via the synchrotron mechanism (or a secondary process dependent upon synchrotron photons), the putative synchrotron source in a radio-quiet quasar must be very compact. Sufficiently compact synchrotron sources may at centimeter wavelengths be self-absorbed or free-free absorbed (by thermal gas related to the broad-line emitting regions, provided this gas covers the source). However, the absence in most quasars of strong emission at any radio frequency indicates that most quasars do not inject a copious supply of relativistic electrons into large volumes (owing, e.g., to confinement or radiative losses). Finally, purely geometrical explanations, such as the simplest relativistic jet models, seem inadequate to account for the observed distribution of radio-to-optical luminosity ratios. The relativistic jet models, in their simplest form, predict a rapid increase in the number of quasars per unit 0R (effective radio-to-optical spectral index) as αOR decreases: the observed distribution is, in fact, rather uniform in αOR.