Insurance that is based upon a normal distribution is compatible. Insurance based upon a non-normal distribution is not compatible because you basically can't price it. You therefore usually get a few scenarios:
* The insurer prints money during the good years and goes bankrupt in the bad years.
* The insurer prints money during the good years and somehow caps their liability in the bad years (this is why homeowners' insurance typically doesn't cover flood damage).
Sometimes the government covers the difference (e.g. the government coughing up the money AIG owed to Goldman Sachs, the nuclear liability cap or NFIP), sometimes it doesn't.
You get non-normal distributions in a lot of situations - nuclear insurance, flood, earthquake, healthcare and insuring against default risk.
tl;dr capitalism is compatible only with high school statistics.