Captured a few months back during a raid just north of Megaton, Frank has yet to adjust to life as a servant and acts up constantly. He's been placed in charge of drinks at the bar, as bar patron Ymir doesn't take kindly to his drinks being spilled or watered down.[1]
When the player approaches the food court region of Paradise Falls where Frank works, he is promptly accused of watering down the vodka and killed by Ymir who uses his super sledge to smash Frank before he can even react.
If the player interrupts the conversation between Ymir and Frank before Ymir kills him, Frank will not be killed (not approaching the food court altogether will also keep Frank alive).
If he is still alive, the speech option with Ymir about killing him will not be there obviously even though he was meant to die.
Aggravating the slavers will also make Frank hostile, causing him to attack you with his bat. He can be difficult to notice behind the bar, so you may not notice him until he leaps out to attack.
As Frank is meant to be killed, he is not available to trade with you, even though he is a bartender. The only speech option you receive is "I have to go now".
If you are attacking Paradise Falls, Ymir and Frank may still be having their conversation, even if both of them are attacking you.