Desert Hot Springs police are investigating a home invasion robbery and shooting. About 6:45 a.m. Sunday, officers were called to the 9700 block of Vista Del Valle for a home invasion robbery in which a person was shot. Arriving officers saw the suspect fleeing on a motorcycle and started a pursuit. Officers finally stopped the suspect, whose name has not yet been released, in Palm Springs and he was arrested for investigation of attempted murder, home invasion robbery, carjacking, and other charges. The victim in the robbery sustained numerous gunshot wounds and was taken to Desert Hospital in Palm Springs in critical condition.