The flight crew's decision to land with convective activity over the airport with a prevailing crosswind to a quartering tailwind, on an ungrooved, flooded runway, which resulted in hydroplaning and a loss of directional control. Factors contributing to the accident were: prevailing dark night conditions; severe weather conditions associated with a major tropical storm, such as convective activity, strong crosswinds, the quartering tailwind, and torrential rain. Also contributing to the accident were the operator's failure to provide the flight crew with up-to-date weather forecasts, in-flight weather advisories, and pertinent NOTAMS relating to the safe operation of the flight.