She's not proposing a falsiable hypothesis here which can compete in the marketplace of ideas. We're talking about the normal distribution. If she doesn't know

She's not proposing a falsiable hypothesis here which can compete in the marketplace of ideas. We're talking about the normal distribution. If she doesn't know what it is, that casts doubt on her understanding of all the other basics she learned during her undergrad and PhD. If (more likely) she does and she's just being dishonest, that casts doubt on everything she says for a different reason.