Here is a statement from the text that I have issues with, regarding the Fermi level
"No, the probability of finding an electron is non-zero, but we will not find any electrons there since the density of states is zero."
That part of it "we will not find any electrons there since the density of states is zero" implies absolute certainty i.e. a probability of 1. The part that the Fermi level corresponds to a probability of 1/2 suggests lack of an absolute certainty.
I think the above statement has to be reformulated.
Here is a statement from the text that I have issues with, regarding the Fermi level
"No, the probability of finding an electron is non-zero, but we will not find any electrons there since the density of states is zero."
That part of it "we will not find any electrons there since the density of states is zero" implies absolute certainty i.e. a probability of 1. The part that the Fermi level corresponds to a probability of 1/2 suggests lack of an absolute certainty.
I think the above statement has to be reformulated.