Usually "make" is used in context with a vehicle, but you would be understood if you said "make of camera." It would be better to say "model" of your camera, or even "brand" or "type." However, if you start stating details like "it's a Sony CyberShot WX80", the person taking the report will understand what you're describing.
If your purse or wallet is stolen, the police will ask you what was inside it. They mainly want to know how much money you had, and in what denominations (for example, if you had $500, was it five $100 bills, 10 $50 bills, etc). They also want to know what credit cards you had, and any other important documents that were contained inside the stolen item. (Be as specific as possible, and then when you're finished ask for a copy of the police report. You might need the report for insurance purposes when you return home.)
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