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Chance Visitor Is Orbital: 0.31 (default is 0.46), based on Randy's weight ratio of 1.1 OrbitalVisitor to 2.4 FactionArrival.
Visitor Chance: 0.6 (default is 0.15)
MTB Unit: 130,000 (default is 80,000)
Bonus ThreatBig Chance, both base and per wealth: 0 (default is .06 base plus .01 per 10,000 wealth)
IMO, if you're going to make the bonus ThreatBig chance 0, you may as well use Randy at that point. It's hard to calculate without making assumptions about your wealth, but by some rough calculations, I think the default settings for the bonus BigThreat gives about the same raid frequency with MTB unit 170,000 at 1,000,000 wealth as with MTB unit 130,000 at 0 wealth.
What I found is:
Randy and Rebecca choose to make incidents about equally as often (about every 1 and 1/3 days). Randy chooses from a category list of Misc, ThreatBig, OrbitalVisitor, FactionArrival, ThreatSmall, and ShipChunkDrop, where ThreatBig has a weight of 1.4/9.22 (average of 1 per 8.8 days, if my math is right). Rebecca omits OrbitalVisitor and FactionArrival from her list, giving ThreatBig a weight of 1.4/5.72 (1 per 5.5 days). That doesn't count Rebecca's chance of sending two threats at once.
Rebecca does OrbitalVisitor and FactionArrival as additional incidents when it makes one of the incidents actually in her list.
So matching Randy calls for increasing MTBUnit and tweaking the visitor chance and other settintgs.