8. A system for troubleshooting based on a probability distribution model, the system comprising: a processor; a first module configured to control the processor to establish a speech-based conversation with the user; a second module configured to control the processor to establish at least one non-speech-based channel of interaction for obtaining behavioral information associated with the product during the speech-based conversation; a third module configured to control the processor to maintain a probability distribution over time for each of a plurality of component variables describing a state of the product based on a state of a conversation over time and a state of the behavioral information over time; and a fourth module configured to control the processor to troubleshoot the product by responding based on the probability distribution.
13. The system of claim 8 , wherein partially observable Markov decision processes (POMDPs) are used to select troubleshooting responses.