Final answer:
Local and state police primarily investigate indecent exposure, sexual assaults, and prostitution. The FBI may also be involved in cases with broader implications. The CIA does not engage in domestic law enforcement, and private investigators have limited authority.
Step-by-step explanation:
The investigation of indecent exposure, sexual assaults, and prostitution generally falls under the jurisdiction of local and state police departments. In certain cases, especially those that cross state lines or involve human trafficking, the Federal Bureau of Investigation (FBI) may also play a role. The CIA operates overseas and does not engage in domestic law enforcement, while private investigators may be hired by individuals or organizations but do not have the same authority as police or federal law enforcement agencies such as the FBI.