Incorrect formula for Histogram distribution expected value

[rakhimov]

The formula looks very wrong.
Moreover, the description seems to assume normalized weights
and discusses weights in a non-conventional way (E_i vs w_i).
Density Prob. Distributions and Discrete Prob. Distributions are confusingly mixed-up.

[rakhimov]

The description of the sampling technique for the histogram distribution is wrong as well.