Can you request general anesthesia instead of sedation?

I am having an ERCP, internal ultrasound and colonoscopy done on the 25th and the scheduling nurse just informed me that I would be sedated not anethesised as I believed. I am freaked out about this, since when I had a cyst removed from under my arm I was sedated and still remember bits and pieces. I do not want to remember a camera down my throat and up my derriere. Plus, I have a hard time staying under with sedation...is it common or acceptable for a patient to request general anesthesia instead?